A pair of fair dice are rolled. Find the probability that the sum is equal to 5. Find the probability that the sum is equal to 11. Find the probability that the sum is at most 4.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A pair of fair dice are rolled.

  1. Find the probability that the sum is equal to 5.
  2. Find the probability that the sum is equal to 11.
  3. Find the probability that the sum is at most 4.
Expert Solution
Step 1

you roll a fair die twice. then sample space(S);

S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3), (3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),             (5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

n(S) = 36

 

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