I'm posting one puzzle, riddle, math, or statistical problem a day. Try to answer each one and post your answers in the comments section. I'll post the answer the next day. Even if you have the same answer as someone else, feel free to put up your answer, too!
Tuesday, September 01, 2009
Going to the Theatre
Two men and two women went to the movie theater together and they all sat in the same row. The two men want to be in the middle so that there are two women at either end, but don't want to force anything. What are the chances that things will work out for them?
Posted by Unknown at 10:41 AM
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I got 1/6 chance but I'm not sure it's right.ReplyDelete
Are they gay also?ReplyDelete
I got 1/6 too (4 arrangements/24 possible).ReplyDelete
There could be 2 answers, depending on how you interpret the question.ReplyDelete
Scenario 1 : Man and woman pair are always together than the answer 1/8.
Scenario 2: Man and woman pair does not necessarily sit together then the answer is 1/6.
4/24 = 1/6ReplyDelete
Alright, I'm a bit confused by the answers given. I'm thinking I must have worded the problem incorrectly.ReplyDelete
There are only 10 possible arrangements. You can either write them out, or you can use 5 choose 2 formula. Here's the listing:
Of those, only three have two women on both ends. So the probability is 30%.
Mike, um, there are only two couples = 4 people. Without differentiating between the 2 men or the 2 women, there are 6 possible arrangements and only one has the 2 women in the middle.ReplyDelete
With two men and two women:ReplyDelete
1. W W M M
2. W M W M
3. W M M W
4. M W W M
5. M W M W
6. M M W W
Is this what Anonymous was saying? 1 in 6?
I knew there was something wrong. Sorry about that. It was supposed to be three women. Thanks for figuring this out for me.ReplyDelete
This is one of those cases where I was seeing what I was thinking, not what was written.
The answer for the question as it is written is 1/6 as USAF Pilot and anonymous point out.