A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 15 wood and 14 graphite are defective and one racket is randomly selected from the​ sample, find the probability that the racket is wood or defective.

Answer:The probability that the racket is wood or defective is 0.57.Step-by-step explanation:Let W represents wood racket, G represents the graphite racket and D represents the defective racket,Given,n(W) = 100,n(G) = 100,⇒ Total rackets = 100 + 100 = 200n(W∩D) = 15,n(G∩D) = 14,⇒ n(D) = n(W∩D) + n(G∩D) = 15 + 14 = 29,We know that,n(W∪D) = n(W) + n(D) - n(W∩D)= 100 + 29 - 15= 100 + 14= 114,Hence, the probability that the racket is wood or defective,[tex]P(W\cup D) = \frac{114}{200}[/tex][tex]=0.57[/tex]