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?

Probability of making none of next 5 free throws = 0.00243

Step-by-step 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

0.0024

Step-by-step 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