SOLUTION: The probability that Ramon will pass the board exam is 3/5. The probability that Simon will pass the same board exam is 5/6. If each of them takes the board exam, find the probab

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Question 1153770: The probability that Ramon will pass the board exam is 3/5. The probability
that Simon will pass the same board exam is 5/6. If each of them takes the
board exam, find the probability that the board exam will be passed by:
a. both Ramon and Simon.
b. only one of them.
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.

            The problem does not say that the given events are  INDEPENDENT,  and it is problem's formulation  FAULT.

            It  MUST  say it.  In my solution,  I will assume the the events are independent.

            Then 


(a)  P = P(Ramon)*P(Simon).



(b)  P = P(Ramon)*(1-P(Simon)) + (1-P(Ramon))*P(Simon).

You complete calculations by substituting the given data.



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