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Chapter 13: Q. 35 (page 865)

For Problems 35 and 36, an urn contains 5 white marbles, 10 green marbles, 8 yellow marbles, and 7 black marbles.

If one marble is selected, determine the probability that it is white.

Short Answer

Expert verified

The probability is16.

Step by step solution

01

Step 1. Given information. 

An urn contains 5 white marbles, 10 green marbles, 8 yellow marbles, and 7 black marbles.

02

Step 2. Find probability.

We are given a total of 30 marbles for our sample space,nS, That is

5white+10green+8yellow+7black=30

and asked to look for the probability of selecting a white marble. Thus, we can use the formula

Pwhite=nwhitenS

Since there are 5 white marbles, then n(white)=5

Substituting the value of localid="1647265579991" n(white)andn(S) in the formula:

Pwhite=nwhitenS=530=16

03

Step 3. Conclusion.

The probability is16.

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