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Chapter 13: Q. 33 (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 event E: 鈥渁n even number.鈥�

Short Answer

Expert verified

The probability is12.

Step by step solution

01

Step 1. Given information.

The sample space is S={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=anevennumber=2,4,6,8,10Since there are five even number in sample space.

So, nS=10andnE=5

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

PE=nSnE

Substitute the value of nSandnEin the formula:

PE=nSnE=510=12

03

Step 3. Conclusion. 

The probability is12.

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