Pentagon A'B'C'D' E' is the image of pentagon ABCDE under a dilation with a scale factor of
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Let's split the problem in non-intersecting subsets: we have good wood racquets,
defective wood rackets,
good graphite racquets,
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, ,
and
elements.
Since the total is elements, the probability is