Question

Trevor Ariza 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 70%, percent of the time. What is the probability of Trevor Ariza making none of his next 5 free throw attempts?

Answer 1

Probability of making none of next 5 free throws = 0.00243

Explanation:

"Making or missing free throws doesn't change the probability that he will make his next one"

So the probability of making none of next 5 free throws

= Probability of missing next 5 free throws

= Probability of missing 1 free throw^5

"...he makes his free throws 70%" so the probability of missing 1 free throw = 1-70% = 0.3

So the probability of making none of next 5 free throws = 0.3^5

= 0.00243

Answer 2

0.0024

Explanation:

Making or missing free throws doesn't change the probability of next FTs

P(none of next 5 FTs)

=P(miss next FT)*P(miss next FT)*P(miss next FT)*P(miss next FT)*P(miss next FT)

=P(miss next FT)^5

= (1 - P(make next FT))^5

= (1 - 0.7)^5

= 0.3^5

=0.0024