SOLUTION: You roll two fair dice. Find the probability that the first die is a 4 given that the minimum of the two numbers is a 2. I have tried 1/5

Question 1141847: You roll two fair dice. Find the probability that the first die is a 4 given that the minimum of the two numbers is a 2.
I have tried 1/5
Answer by ikleyn(52908) (Show Source): You can put this solution on YOUR website!
.


The total space of events consists of 6*6 = 36 elements, each with the probability of  .


Of these 36 events, the sub-space of elements having the minimum of two numbers as 2 is THIS set


    (2,2), (2,3), (2,4), (2,5), (2,6), (3,2) (4,2), (5,2) and (6,2),


consisting of 9 elements.


Of these 9 elements, only one element (4,2) satisfies given condition.


Therefore, the conditional probability under the question is  .


It is the answer to the problem's question.

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