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

Respuesta :

100w, 100g
<
85w, 80g, 15dw, 20dg

all w+dw+dg = 120/200 or 3/5

Answer: Our required probability is 0.675.

Step-by-step explanation:

Since we have given that

Number of wood tennis rackets = 100

Number of graphite tennis rackets = 100

Number of defective wood tennis rackets = 15

Number of defective graphite tennis rackets = 20

So, Probability that the racket is wood or defective is given by

[tex]P(wood)+P(defective)\\\\=\dfrac{100}{200}+\dfrac{35}{200}\\\\=\dfrac{135}{200}\\\\=0.675[/tex]

Hence, our required probability is 0.675.