Question

The probability that rose will complete a free through basketball shot is 1/3. If she makes 5 shots, what is the probability of her completing at least one shot?

Answer 1

this is a binomial problem.
we want completing at least one shot. Let X = # of shots in 5 chances .
Then X can equal to 0,1,2,3,4,5
We want
P( X >= 1 ) or P (X = 1,2,3,4,5)

Answer 2

each shot has probability of success 1/3 and failure 2/3 .
it is easier to do the complement
P ( X > = 1 ) = 1 - P(X <1 ) = 1 - P( X = 0 )
= 1 - ( 2/3)^5

Answer 3

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