2413 Two fair dice are rolled What is the probability that t

2.4.13. Two fair dice are rolled. What is the probability that the number on the ?rst die was at least as large as 4 given that the sum of the two dice was 8?


2.4.13. Two fair dice are rolled. What is the probability that the number on the ?rst die was at least as large as 4 given that the sum of the two dice was 8?


2.4.13. Two fair dice are rolled. What is the probability that the number on the ?rst die was at least as large as 4 given that the sum of the two dice was 8?


Solution

if sum of two dice are 8 then possible outcome is {2,6},{3,5},{4,4},{5,3},{6,2} ie 5 possible outcomes

outcomes for first die greater than or equal to 4 are {4,4},{5,3},{6,2} ie 3 outcomes

so probabitity = 3 / 5 = 0.6

 2.4.13. Two fair dice are rolled. What is the probability that the number on the ?rst die was at least as large as 4 given that the sum of the two dice was 8?

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