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,
[tex]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[/tex]
Hence, the probability that the racket is wood or defective is 0.6.
