Find the conditional probability of the indicated event when two fair dice (one red and one...

Question

Question

Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. HINT [See Example 1.]

The sum is 4, given that the green one is either 1 or 2.

Answer 1

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Answer #1

Sum 4 can be obtained in 3 ways i.e. (3, 1), (1, 3), (2, 2)

In this, there would be two ways when green one will be at 1 or 2. Also,

Total number of outcomes with green one at 1 or 2 = 6 + 6 = 12

Hence,

P(Sum is 4 | Green one is either 1 or 2) = 2/12 = 1/6 = 0.1667

Answer 2

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