Michael Beasley is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 75\%75%75, percent of the time. What is the probability of Michael Beasley making all of his next 4 free throw attempts?
Answers
Given : Michael Beasley is shooting free throws , he makes his free throws 75% percent of the time
To find : probability of Michael Beasley making all of his next 4 free throw attempts
Solution:
he makes his free throws 75% percent of the time
Probability of Making = 75/100 = 3/4
probability of Michael Beasley making all of his next 4 free throw attempts
= (3/4)(3/4)(3/4)(3/4)
= 81/256
= 31.64%
other way
P(x) = ⁿCₓpˣ(1-p)ˣ
n = 4
x = 4
p = 3/4
P(4) = ⁴C₄(3/4)⁴(1-3/4)⁴⁻⁴ = ⁴C₄(3/4)⁴(1/4)⁰ = 81/256
81/265 = 31.64% is the probability of Michael Beasley making all of his next 4 free throw attempts
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