[Boards: 3 / a / aco / adv / an / asp / b / biz / c / cgl / ck / cm / co / d / diy / e / fa / fit / g / gd / gif / h / hc / his / hm / hr / i / ic / int / jp / k / lgbt / lit / m / mlp / mu / n / news / o / out / p / po / pol / qa / r / r9k / s / s4s / sci / soc / sp / t / tg / toy / trash / trv / tv / u / v / vg / vp / vr / w / wg / wsg / wsr / x / y ] [Home]
4chanarchives logo
You should be able to solve this, /sci/
Images are sometimes not shown due to bandwidth/network limitations. Refreshing the page usually helps.

You are currently reading a thread in /sci/ - Science & Math

Thread replies: 134
Thread images: 8
File: sT854sx[1].jpg (120 KB, 1223x635) Image search: [Google]
sT854sx[1].jpg
120 KB, 1223x635
You should be able to solve this, /sci/
>>
>>7882933
.. 7?
>>
>>7882933
all of them
>>
>>7882933
Which cards? All of them must be turned over
/thread
>>
>>7882951
>>7882950
I think you guys are ignoring the word "must".
>>
>>7882933
A and 2
7 is not an even number, and K is not a vowel, meaning those cards are unaffected by the rules because they don't state that ONLY cards with vowels can have even numbers on the other side.
>>
>>7882960
brainlet
>>
>>7882960
What information do you gain by flipping over the 2? What could be on the other side that could contradict the rule?
>>
>>7882933
NOT(VOWEL SIDE A) OR (EVEN SIDE B)

need to flip card A and card 7
>>
>>7882960
You do not understand how the implication operator works
>>
>>7882971
if the 7 has a vowel on the other then the rule won't have been followed, brainlet
>>
>>7882960
what if there is a vowel on the other side of the 7, or if there is another letter on the other side of the K, it states nowhere that there is always a letter on one side and a number on the other.
>>
>>7882933
Cool, I ocasionally browse youtube too.
7
>>
>>7882974
Which is why you need to flip it over.
>>
>>7882974
That's the point, dumbass. If the rule isn't followed then the rule has been unverified, which is equivalent to being verified by the contrapositive.

Do you even understand formal logic? Literal lower division undergrad math.
>>
>>7882982
>>7882979
I meant to say the K, brainlets

the A K and 7 all need to be flipped
>>
>>7882978
No, need to verify A (implies) Even# as well.
>>
they all need to be flipped. One can be wrong out of the four
>>
>>7882983
What information could you get when you flip over the K that could confirm or break the rule?

>>7882986
>need
No they don't.
>>
>>7882983
There is no implication between consonant letters and their backsides. This is an "if", not an "if and only if". You really are retarded.
>>
>>7882989
if it has a vowel on the other side the rule won't have been followed
>>
>>7882967
Anything but a vowel.
>>
>>7882933
All of them except 2:

if there is 3 behind A it's fucked, so we need to check

if there is U behind K it's fucked, so we need to check

we don't need to check 2, if behind is a vowel it works, if it's not a vowel we don't care.

if there is E behind 7 it's fucked, so we need to check
>>
>>7882990
brainlet
>>
>>7882989
what if you flip 7 and it has a 3. Then you flip A and it has a 4. Then you flip K and it has a 5. Then you flip 2 and it has a B
>>
>>7882992
I guess that's true since it didn't state that each card has only a letter and a number.
>>
Flipping one card only tests if the rule is working on that one card, then there's the rest
>>
>>7882993
Why would non-vowel's contradict the rule? Non-vowel cards weren't mentioned.
>>
>>7882999
how are you feeling? what is it like to be a brainlet that is now self aware?
>>
>>7883005
If you were really logical you would know given the information you have that you have no way of knowing whether or not I responded to you saying you were wrong, since everyone here is anonymous. Nice try, brainlet.
>>
>>7883002
I can see my mistake now.
Thanks anon.
>>
>>7883001
Yes, but the rule doesn't apply to all the cards, it doesn't affect the "2" card for example
>>
A and 7, the other two cards doesnt need a verification of some sort.
>>
>>7883011
>denial
:^)
>>
>>7882933
A,K, and 7
>>
>>7883020
Only a brainlet would say something that wasn't 100% logical.
>>
>>7882933
it's A, finally figured it out.
>>
>>7883019
What if there is a vowel behind the K?
>>
>>7882933
A, K and 7.
A because it must have an even number on the other side.
K because it mustn't have a vowel on the other side.
7 because it mustn't have a vowel on the other side.

The 2 doesn't matter since the rule doesn't mean that every even number must have a vowel on the other side. So anything can be on the other side of the 2 and it wouldn't break the rule.
>>
>>7883039
And 7, kek.
>>
A and 7, Because an odd and even number need not to have a vowel, since the corollary must be proven, and the converse does not have to hold, but only implied.
>>
>>7883058
Well, I hadn't considered two letter cards. Which makes this the correct answer.
>>
>>7883058
why?
It only said a vowel must have an even number.
Every card with a vowel has an even number, but every card with an even number doesn't NEED to have vowel on the other side. The rule said nothing about uneven numbers and non-vowels.
Tell me, is this wrong!?
>>
>>7883086
>Every card with a vowel has an even number, but every card with an even number doesn't NEED to have vowel on the other side.
That's exactly what I tried to say in the last 2 sentences.

>The rule said nothing about uneven numbers and non-vowels.
But what if there is a vowel behind the K or 7? That would break the rule so you have to check it.
>>
>>7882933
you need to turn over A to make sure there's an even number on the other side.
you need to turn over K to make sure there's not a vowel on the other side.
you need to turn over 7 to make sure there's not a vowel on the other side.
>>
>>7883086
Because the inverse should apply as well, If K had a vowel on the other side, then the statement would be false.

The statement is this, "Iff a card has a vowel on one side, then it must have an even number on the other side."

That means a card with a consonant may have an even number, but K may actually have a vowel on the other side, thus conclusively showing the the statement is false.

A must be shown to have an even number, 7 must be shown to not have vowel, and K must be shown to not have a vowel on the other side.

It would go over the top of people's head to assume that each card has a number letter pair, which is not given by the statement.
>>
File: thingy.jpg (24 KB, 422x305) Image search: [Google]
thingy.jpg
24 KB, 422x305
If a card has a vowel on one side, it must have an even number on the other side.

If a card has a consonant on one side, it can have either an even number or an odd number on the other side.

If a card has an even number on one side, it can have either a vowel or a consonant on the other side.

If a card has an odd number on one side, it cannot have a vowel on the other side.

A,7
>>
>>7883108
see >>7883042
>>
>>7882960
>what is a contrapositive?
>>
It's A. It doesn't say that an even number has to have a vowel.
>>
>>7883130
How would you know if there was a vowel behind 7 for example though? That would break the rule, and you wouldn't know unless you checked.
>>
Remember, there can be a card that has two letters in it.

Only card "2" not need to be turned. All else could have vowels in other side.

A: "A", "K" and "7"
>>
Everything but '2.' The 'A' must have an even number on the back while the 'K' and the '7' must not have a vowel on the back if the rule is followed. What is on the back of the '2' is irrelevant since there are no restrictions on what must be on the other side.
>>
File: cardgame.png (824 KB, 1223x635) Image search: [Google]
cardgame.png
824 KB, 1223x635
This represents a worst case. Clearly you have to flip all cards except "2" to be sure.
>>
>>7882994
this
>>
>>7882933
Only A.
if vowel, then even
>>
>>7883189
What if there's a vowel behind one of the other cards?
>>
>>7883189
only answer.

not only is this intro logic
the youtube video asking this question gives the answer as A
>>
>>7883189
oops, meant to say only A and 7
>>
You must flip A, to make sure there is an even number
You must flip K and 7 to make sure there is not a vowel on the other side
>>
>>7883194
wrong, see >>7883200
>>
>>7883113
>>7883042
ahhhh,

I misread the problem, This problem originally would have had another line of text explaining that each card had letters on one side, and numbers on the other. I simply applied the information I knew about the original problem without doublechecking to make sure this was actually the same.
>>
>>7882933
Ak27

Can anything mess it up for card A?
Yes anything that is not a non even number.

Can anything mess it up for card K?
Yes a vowel.

Can anything mess it up for card 2?
No. It can have a vowel or a consonant or a number and still follow the rule.

Can any thing mess it up for card 7.
Yes a vowel.
>>
>>7883359
So…which cards should be checked exactly?
>>
>>7883394
see >>7883200
>>
>>7882933
A, K, 7.

Nothing says that the cards have letters on one side and a number on the other, meaning a K could have a letter. We need to ensure that all vowels have an even number on their reverse, which means we need to check all cards for vowels.

If the K has a vowel on the back, rule is broken. If the 7 has a vowel on the back, rule is broken. If the A does not have an even number on the back, rule is broken.

The only card we do not need to flip is the 2, since no matter what it has on the back (vowel or non vowel), the rule would be satisfied.
>>
Only A.

The only rule is
IF VOWEL, THEN EVEN

Absolutely nowhere is it specified
IF EVEN, THEN VOWEL

And absolutely nothing is said about what odd numbers or consonants must do.
>>
>>7883497
probably bait, but possibly just an 80 iq
>>
>>7883486
>Nothing says that the cards have letters on one side and a number on the other,
Ah, good point. I >>7883497 didn't think about that at all. I guess you have to check K and 7 too to make sure they're not Vowels on the other side and thus violating their rule.

Hurf durf.
>>
>>7882933
card 1 and 4.
(A) and (7)
If card 1 has an odd number on the other side, we know that the rule is for sure not being followed, so that gives us information.
If card 4 has a vowel on the other side, we know that the rule is for sure not being followed.
If we flip card 2, and it has an even or odd number, that doesn't tell us shit about the rule, and if we flip card 3, and it has a vowel, then all we've learned is that the rule isn't being broken with that card.
Logically, to completely determine if the rules are being followed by this set of four cards, we have to exhaust every possibility that can present us with a way to break the rule.
>>
>>7882994
Nope, you don't need to flip K.
All the rule says is that "if a card has a vowel on one side, it must have an even number on the other side."
It does not say that if there is a consonant, then there must be an odd. And it does not say that if there is an even, there must be a vowel.
>>
>>7883571
What happens if there's a vowel behind K? You wouldn't know unless you checked, so you need to check to confirm the rule 100%. K is not an even number.
>>
>>7883674
Oh you know what
it doesn't explicitly say that a card has to have a number and a letter on it, so you're right.
The answer is (A) (K) and (7).
>>
>>7882933
A
>>
>>7883563
How do you know the K doesn't have an E or other vowel on the back of it? I think you'd have to check to be sure.
>>
>>7882933
Just A. Think about the implies truth table and your p's and q's. Remember that we are not working with biconditionals here, folks.
>>
>>7883985
Kindly describe how you know the 7 hasn't got an U on the back of it.
>>
File: billie-lourd.jpg (215 KB, 600x900) Image search: [Google]
billie-lourd.jpg
215 KB, 600x900
Only A.

The first part of the question is the answer. Nowhere does it imply vowels and even numbers are mutually exclusive or inclusive, only that "Vowels need even numbers"

IF vowel
THEN even number on the back

Easy
>>
>>7883993
Are you fucking retarded? How do you know what's on the back of K? You don't. If there's a vowel you're shit out of luck cuz the rule's been broken. I'd check to make sure. I check some other cards too. Prove me wrong.
>>
seeing brainlets on /sci/ try to understand this makes me wish more logic puzzles are posted
>>
>>7884035
For some one who hasn't posted a solution you're pretty cocky, mr. I only need to check A.
>>
>>7882933
A and 7
>>
>>7884042
I did, see >>7883200
>>
File: assburgerspede.jpg (6 KB, 196x223) Image search: [Google]
assburgerspede.jpg
6 KB, 196x223
A and 7

Turning over the 2 and finding a B on the othe side wouldnt make the rule invalid, whereas turning over the 7 and finding an O would do it. So you need to turn over the A and the 7.
>>
>>7884075
what about K nigger
>>
>>7882933
Not even 100 trillion cards be enough because induction in science is useless.
-t. Hume
>>
>>7884091
2/10 bait
>>
>>7883963
see >>7883694

>>7883985
see >>7883990

>>7883993
see >>7884002
>>
>>7882996
You are impressive. I am impressed.>>7882999
>>
>>7882933
A and 2
>>
>>7882971
AND card K
because what if that one has a vowel on the other side.?
>>
>>7882933

The only answer is A

that is the only answer

what are you doing, /sci/?

the rule is, if vowel, then X

the rule is not exclusive other than that

an even number could be on the other side of a consonant. so if you turn the 2 over you won't have any more information than you do now. same for the other 2 besides A

the only way to verify is by turning over the card where the other side is a known required quantity

/thread
>>
>>7884002

irrelevant

if there is anything but a vowel, then you won't have any new information

the question is must to determine

it must be decisive

>>7884186
>>7883993
>>7884042
>>7883985
>>7883747
>>7883497
>>7883189
>>7883194
>>7883130
>>7883039

only answer
>>
the cards could also have pictures on the back :^)
>>
>>7884186
"If a card has a vowel ON ONE SIDE, then it MUST have an even number ON THE OTHER."
>If the first card has an even number on the other side, then it is not breaking the rule
>If it has an odd number, then it is breaking the rule
>If it has something else that isn't an even number on the other side, then it is breaking the rule
We must flip the first card, to determine if the rule is being broken.

>If the second card has a vowel on the other side, then it is breaking the rule.
>If it has a number of any value even or odd, it is not breaking the rule
>If it has anything that isn't a vowel on the other side, then it's not breaking the rule
We must flip the second card, to determine if the rule is being broken.

>If the third card has a vowel on the other side, then the rule is being followed (more accurately, the rule is not being broken)
>If it has a number or anything else, the rule still isn't being broken.
We don't have to flip the third card, as we can glean no useful information as to whether or not the rule has been broken.

>If the fourth card has a vowel on the other side, then the rule is being broken
>If the fourth card has a number or anything else, then the rule is not being broken
We must flip the fourth card to determine if the rule is being broken.

We must flip cards 1, 2, and 4 to determine 100% that the rule is not being broken.
>>
>>7884201
I feel as if I should clarify what I meant with the starting bit there.
Everyone in this thread who is saying "a only" would be correct IF the statement was "If there is a vowel on the front, then there must be an even number on the back"
but it specifies that if there is a vowel on either side of the card, that there must be an even number on the other side.
>>
>>7884207
>>7884207
>Everyone in this thread who is saying "a only" would be correct IF the statement was "If there is a vowel on the front, then there must be an even number on the back"


If things were different they wouldn't be the same. Point is the these "a only" anons are illiterate.
>>
>>7884186
>>7884188
Using your words please explain why you don't think you should check the K card for a Vowel? Wouldn't a big fat A on the back of K ruin it?
>>
>>7883694
>>7884182
These guys get it.
The rest of you are seriously retarded.
>>
>>7882933
A K and 7. The A could have anything apart from an even number, and both the 7 and k could have a vowel on the other side. The only one that's safe is the 2
>>
All you smug guys who say "A only" are confused. The pic related in the OP does not exclude cards from having letters or numbers on both sides. Check your assumptions
>>
If "not even" means odd,

Then you need to flip A, 2, and 7.

If "not even" means ANYTHING else not even,

then you need to flip A, K, 2, 7.
>>
File: 1447828707507.png (2 MB, 1280x720) Image search: [Google]
1447828707507.png
2 MB, 1280x720
Need to flip A, K, 2, and 7.

Nowhere does it state the card only has two valid sides, or that it's even showing us one of the valid sides. There's nothing stopping a vowel, number, consonant, or chinese hanzi inscribed on the sides going around the card, and this doesn't even delve into the complexities of the potential for this to be a greater-than-3 dimensional object.

Make no assumptions, question everything.
>>
Dear fucking god this thread proves it. Just because you know and have studied difficult subjects and call other people "brainlets", you aren't necessarily smart... God so many people here are actually subhuman filth
>>
>>7885356
>>7885356
There's no reason the 2 needs to be flipped. It could have an animu on the back and still be legit. You're right about the others.
>>
>>7885356
i would flip anzu, and fuck her
>>
BRING OUT DA AK47 FLIP THE WORK YA KNOW WHAT IT IS
>>
>>7882933
A and 7. It doesn't matter if we flip 2 and K.
>>
>>7885941
>>7885941
Why flip the 2? If there's a vowel the rules been followed. If there's something that's not a vowel the rule has not been broken. And if a vowel has to have an even why do you state that vowels are the only cards not to be checked? Help me understand. Go slowly. Why not check the vowels?
>>
>>7885974
Nigga please, what if K has a E or other vowel on its back? What then, anon? What then?
>>
>brainlets confusing "one side" with "side shown"

>>7885974
Of course you need to flip over K.
>>
>>7885983
You're dumb as shit. You've got to flip the A. We want to know if the set of cards is following the rule "vowels must be paired with even numbers" if we don't check card A we can't say the rule is being followed. Prove me wrong.
>>
File: doner-close.jpg (48 KB, 299x235) Image search: [Google]
doner-close.jpg
48 KB, 299x235
>>7882933
You would have to flip every card.
Leaving any card unturned increases the uncertainty, so you'll never truly know if the rules are followed until you flip over every last card and verify it.
>>
>>7885998
>>7885983
>>7885988
You are right. K also has to be turned. I gues it's A, 7 and K then. 2 it's the only one that doesn't matter.
>>
>>7885983
If you flip 7 and find a vowel you are verifying that the rule is being broken. That's exactly why you need to flip that card.
>>
>>7886000
It doesn't matter if you turn 2. The rule is not a biconditional, so it doesn't matter if there isn't a vowel on the other side.
>>
>>7886019
Please explicate.
>>
>>7886019
Nothing to say, huh? Bitch.
>>
>>7882933

Problem doesn't specify whether y counts as a vowel or not, but either way you need to flip over all four cards to make sure there isn't a fifth smaller card hiding under any of them.
>>
>>7886067
Kek'd
>>
File: laughingCarlton.jpg (71 KB, 1136x640) Image search: [Google]
laughingCarlton.jpg
71 KB, 1136x640
>>7886067
>>
>>7882933

Flip A first. If it's got an even number, then flip K. If it doesn't have a vowel, then flip 7
>>
>>7882933
what about all of them
>>
A and 7, it never says an even number can't have an odd, but you would need to make sure there was an even number on the other side of A and not an even number on the other side of 7.
>>
The question should clearly state:
On a double sided card, when one side is a vowel the other must be an even number.

which is then trivially A

I spent 2 minutes wondering what the fuck it's talking about since K has a vowel card on one side the A and on its other side it has an even card the 2. What would be the point of flipping them if you know what they already are.

Poorly worded worthless exercise. A more interesting puzzle would be, given a list of randomly sorted face down cards, what is the average number of cards you would have to turn over to find a sequence of three cards that satisfies VOWEL - ANY CARD - EVEN.
>>
>>7882933
A, K and 7. The 2 can have a vowel, number or consonant on its other side, none of which contradicts the premise. We have a contradiction if A shares a letter or uneven number, if K shares a vowel or if 7 shares a vowel.
>>
>>7887389
What's up with the ordering of the flipped cards? Why A first and 7 last?
>>
>>7887425
>I spent 2 minutes wondering what the fuck it's talking about since K has a vowel card on one side the A and on its other side it has an even card the 2. What would be the point of flipping them if you know what they already are

The sides aren't left and right but front and back. Lay off the pot, crackhead.
>>
>>7887425
>Poorly worded worthless exercise. A more interesting puzzle would be, given a list of randomly sorted face down cards, what is the average number of cards you would have to turn over to find a sequence of three cards that satisfies VOWEL - ANY CARD - EVEN.

I'd like to see your solution to that one.
>>
>>7887736

Because if A doesn't have an even number, the game is up. Whereas K and 7 need to have vowels.

Since the set of 'not an even number' is far bigger than the set of vowels, you are more likely to receive critical information from A, so you flip it first. the ordering of the next two doesn't matter, as long as you do one at a time; this is because if the first one gives you the critical information, you don't need to flip the third.
>>
>>7882933
Solved. Ignored it, had a sandwich. Did You really mean to declare that I should establish my own directives?
>>
>>7882933
The rule says that if side1 = vowel, then side2 = even.

The following are not explicitly stated:
>if side1 = letter, then side2 = digit
>if side1 = even, then side2 = vowel

Therefore the only correct answer is A, K, and 7

Nothing on the back of 2 can confirm the only stated rule, but if the back of a is anything other than an even number or if the back of K or 7 is an even number then the rule is broken
>>
>>7882966
>frog-tier meme
Kill yourself
>>
>>7883022
I agree. Nowhere does it say that the cards are guaranteed to have a letter on one side and a number on the other.
Thread replies: 134
Thread images: 8

banner
banner
[Boards: 3 / a / aco / adv / an / asp / b / biz / c / cgl / ck / cm / co / d / diy / e / fa / fit / g / gd / gif / h / hc / his / hm / hr / i / ic / int / jp / k / lgbt / lit / m / mlp / mu / n / news / o / out / p / po / pol / qa / r / r9k / s / s4s / sci / soc / sp / t / tg / toy / trash / trv / tv / u / v / vg / vp / vr / w / wg / wsg / wsr / x / y] [Home]

All trademarks and copyrights on this page are owned by their respective parties. Images uploaded are the responsibility of the Poster. Comments are owned by the Poster.
If a post contains personal/copyrighted/illegal content you can contact me at [email protected] with that post and thread number and it will be removed as soon as possible.
DMCA Content Takedown via dmca.com
All images are hosted on imgur.com, send takedown notices to them.
This is a 4chan archive - all of the content originated from them. If you need IP information for a Poster - you need to contact them. This website shows only archived content.