Question

5. 0/7.14 points Previous Answers WaneFMAC7 8.5.019. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. HINT (See Example 1.] The red one is 6, given that the sum is 8. Submit Answer Practice Another Version 6. + -17.14 points WaneFMAC7 8.5.018. 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 3, given that the green one is either 2 or 1.

Answer 1

Answer - 5: Sum 8 can occur in 5 ways i.e. (6, 2), (2, 6), (4, 4), (5, 3), (3, 5)

In this, there would be only one case when red one will be 6. Hence,

P(Red is 6 | Sum is 8) = 1/5

Answer - 6: Sum 3 can occur in 2 ways i.e. (2, 1), (1, 2)

Possible outcomes when green is 2 or 1 = 6 + 6 = 12

Hence,

P(Sum 3 | Green is either 2 or 1) = 2/12 = 1/6