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olchik [2.2K]
3 years ago
12

A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. if 13 wood and 10 graphite are defective and

one racket is randomly selected from the​ sample, find the probability that the racket is wood or defective.
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
8 0

Let's split the problem in non-intersecting subsets: we have 87 good wood racquets, 13 defective wood rackets, 90 good graphite racquets, 10 defective graphite rackets.


The probability that the racket is wood or defective covers the following subsets: good wood, defective wood and defective graphite, which have, respectively, 87, 13 and 10 elements.


Since the total is 200 elements, the probability is


\frac{87+13+10}{200} = \frac{110}{200} = 0.55

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