Question

A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 1212 wood and 2020 graphite are defective and one racket is randomly selected from the​ sample, find the probability that the racket is wood or defective.

Answer 1

Answer: The probability that the racket is wood or defective is 0.6.

Step-by-step explanation:

Since we have given that

Number of wood tennis rackets = 100

Number of graphite tennis rackets = 100

Total number of rackets = 200

Number of wood are defective = 12

Number of graphite are defective = 20

Total number of defectives = 32

We need to find the probability that the racket is wood or defective.

Let A be the event of wood tennis rackets.

Let B be the event of defective.

So, it becomes,

$P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\P(A\cup B)=\dfrac{100}{200}+\dfrac{32}{200}-\dfrac{12}{200}\\\\P(A\cup B)=\dfrac{100+32-12}{200}=\dfrac{120}{200}=0.6$

Hence, the probability that the racket is wood or defective is 0.6.