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 = 200
n(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]
