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A student is going to sit for an exam on Calculus. If he studies the night before the exam, he is got 0.99 probability to pass it.

But, instead if he choose to go to his friend's party , he is got 0.5 probability to pass it.

In order to decide what to do , he tosses a coin.

Finally , the next day he succesfully passes the exam. What is the probability that he gone to the party ?

I used conditional probability and i am getting 0.335

Is it right ?

Thanks in advance!

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    I'm getting about .336. I think you're method is right but you forgot to round the last decimal place up.2012-03-30
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    Thanks for all the answers people, consider this problem sovled. Your methods are very close to mine, so i am very happy! Cheers! Take care2012-03-31
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    you are a lifesaver....i had the same problem....thanks Adrian Carter. Credits from Creta2012-03-31

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