Engineering Board Exam Reviewer · Conditional Probability and Bayes' Theorem · medium

Two fair dice are rolled and the sum is 8. What is the probability that at least one die shows a 3?

  1. 2/5
  2. 11/36
  3. 1/5
  4. 1/3

Answer

A. 2/5

Solution

The sum is 8 for (2,6),(3,5),(4,4),(5,3),(6,2): 5 outcomes. Those with a 3: (3,5),(5,3). So P= 25.

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