it long so i put it in the description

Question

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A basketball player has a 60% chance of making each free throw. What is the probability that the player makes exactly three out of six free throws? Write your answer as a decimal number and round your answer to the nearest hundredth

Answer 1

binomial formula for determining number of successes x in n trials, with probability of success = p:

n!

---- p^x (1-p)^(n-x)

x!(n-x)!

x = number of free throws made is a binomial variable, so can use binomial formula to determine the probability x = 3 in n = 6 free throws, with p = 0.6 of making free throw:

3 3

6! (0.6) (0.4)

----

3!3!