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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 5, given that the sum is 11. Solution There are only 2 ways to produce a sum of 11, that is: {R = 5, G = 6} or {R = 6, G = 5} Thus, As one of these results have R = 5 (red one is 5), then P(red is 5|sum is 11) = 1/2 or 0.5 [ANSWER].

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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 5, given that the sum is 11. Solution There are only 2 ways to produce a sum of 11, that is: {R = 5, G = 6} or {R = 6, G = 5} Thus, As one of these results have R = 5 (red one is 5), then P(red is 5|sum is 11) = 1/2 or 0.5 [ANSWER]

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  • 1. 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 5, given that the sum is 11. Solution There are only 2 ways to produce a sum of 11, that is: {R = 5, G = 6} or {R = 6, G = 5} Thus, As one of these results have R = 5 (red one is 5), then P(red is 5|sum is 11) = 1/2 or 0.5 [ANSWER]