Question

suppose a basketball player is an excellent free throw shooter and makes 93% of his free throws (i.e., he has a 93% chance of making a single free throw). assume that free throw shots are independent of one another. find the probability that the player misses three consecutive free throws.

Answer 1

To find the probability that the player misses three consecutive free throws, we need to calculate the probability of missing a single shot (1 - 93%) and raise it to the power of 3, since the shots are independent:

1 - 0.93 = 0.07
0.07^3 = 0.00343

So, the probability that the player misses three consecutive free throws is approximately 0.00343, or 0.343%.