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Chapter 13: Q. 32 (page 865)

For Problems 31鈥�34, the sample space is S={1,2,3,4,5,6,7,8,9,10}. Suppose that the outcomes are equally likely.

Compute the probability of the eventF=3,5,9,10

Short Answer

Expert verified

The probability is25.

Step by step solution

01

Step 1. Given information.

The sample space isS={1,2,3,4,5,6,7,8,9,10} . Suppose that the outcomes are equally likely.

02

Step 2. Find Probability. 

Given that S={1,2,3,4,5,6,7,8,9,10}andE=3,5,9,10.

So, nS=10andnE=4

We need to find the probability of E. Thus we can use the formula

PE=nSnE

Substitute the value of localid="1647263675428" nSandnEin the formula:

PE=nSnE=410=25

03

Step 3. Conclusion. 

The probability is25.

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