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A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 15 wood and 20 graphite are defective and one racket is randomly selected from the sample, find the probability that the racket is wood or defective. A. not listedB. 0.175C. 0.575D. 0.525

User Magicmn
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1 Answer

4 votes

Given -

Total wood sample = 100

Total graphite sample = 100

Defective wood sample = 15

Defective graphite sample = 20

To Find -

The probability that the racket is wood or defective =?

Step-by-Step Explanation -

Total wood and graphite sample = 100 + 100 = 200

Total defective wood and graphite sample = 15 + 20 = 35

Total non-defective wood and graphite sample = 200 - 35 = 165

Now,

The probability that the racket is wood or defective = Probability of wood + Probability of defective.


\begin{gathered} =\text{ P\lparen wood\rparen + P\lparen defective\rparen} \\ \\ =\text{ }(100)/(200)\text{ + }(35)/(200) \\ \\ =\text{ }(135)/(200)\text{ = 0.675} \end{gathered}

Final Answer -

A. not listed

User Rashmi
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