Each of the questions in this box pertains to rolling a pair of fair dice.   Find the probability that both die will show a number less than 3

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 30CT: In a batch of 20 tires, 2 are known to be defective. If 4 tires are chosen at random, find the...
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Each of the questions in this box
pertains to rolling
a pair of fair dice.

 

Find the probability that both die will show a number less than 3.

 

Expert Solution
Step 1

For each dice, there are 6 possible outcomes. So when two dice are rolled then the possible number of outcomes= 6×6=36.

 

The numbers less than 3 are 1 and 2. 

So 2 outcomes for less than 3. 

So, both die can show a number less than 3 in 2×2=4 ways

 

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