Ankit makes 74% of the free throws he takes in his basketball league. If he is fouled on a three point

Complete question :

Ankit makes 74% of the free throws he takes in his basketball league. If he is fouled on a three-point shot and gets three free throws, what is the approximate probability he will make all three shots?

0.405224

Step-by-step explanation:

Given that:

p(success) = p = 74% = 0.74

If given 3 free throws ; probability of making all 3

Using binomial fórmula :

p = 0.74 ;

1 - p = 0.26

P( x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 3C3 * 0.74^3 * 0.26^0

P(x = 3) = 1 * 0.405224 * 1

P(x = 3) = 0.405224

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