A basketball player can make 7 out of 10 free throws on aver

A basketball player can make 7 out of 10 free throws on average. Calculate the following probabilities that the basketball player will misses 6 shots in a row?

Solution

A basketball player can make 7 out of 10 free throws on average.

Thus, the probability of a hit is 0.7.

The probability of a miss is 1-0.7=0.3

Then the probability that the basketball player will misses 6 shots in a row is:

10C6*0.3^6*0.7^4

=0.036