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------------------------------------------------ Josh and Alex play on a basketball team. Josh made 9 out of 16 shots, and Alex made 15 out of 20 shots. Based on their performance, what is the probability that both boys will make their next basket?

Josh made 9 out of 16 shots and Alex made 15 out of 20 shots, therefore based on their performance, the probability that both boys will make their next basket is 27/ 64.

The probability that Josh make basket is obtained by

Pj = 9/ 16

The probability that Alex make basket is obtained by

Pa = 15/ 20

= 3/ 4

The probability that both boys will make their next basket is the probability that Alex will make his next basket and the probability that Josh will make his next basket, that is

P = Pa × Pj

P = 3/ 4 × 9/ 16

= 27/ 64

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