Probability of solving a problem

jman2807

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Sep 4, 2006
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Tom and Alice work independently in an attempt to solve a certain problem, i.e. whether one of them solves it does not affect the chances that the other will solve it. The probability that Tom solves it is 0.35 and the probability that Alice solves it is 0.55.

What is the probability that the problem will be solved?
I found that the answer to this part is .7075. However I am stumped on the next part..
If the problem is solved, what is the probability that Tom solves it?
I have tried a ton of answers, none of which are right. Any help would be greatly appreciated.
 
Nevermind, I figured it out. You just divide the probability that tom will solve it divided by the probability that it will be solved.
 
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