shamir loves watching professional basketball. his favorite player, freddy rocket, successfully completes…

shamir loves watching professional basketball. his favorite player, freddy rocket, successfully completes 85% of his free throws. during one game, rocket misses his first four free throws. shamir says that the next free throw has to be a success since rocket rarely misses so many in a row. is shamirs reasoning correct? yes, rocket missed the first four free throws, so the fifth one is due to be a success. no, the probability of rocket making a free throw is 0.85 over the long run. yes, rocket has a high probability of making free throws, so the next one must go in the basket. no, it is very unlikely for rocket to miss so many free throws in a row, so shamir should expect the player to continue missing baskets.

shamir loves watching professional basketball. his favorite player, freddy rocket, successfully completes 85% of his free throws. during one game, rocket misses his first four free throws. shamir says that the next free throw has to be a success since rocket rarely misses so many in a row. is shamirs reasoning correct? yes, rocket missed the first four free throws, so the fifth one is due to be a success. no, the probability of rocket making a free throw is 0.85 over the long run. yes, rocket has a high probability of making free throws, so the next one must go in the basket. no, it is very unlikely for rocket to miss so many free throws in a row, so shamir should expect the player to continue missing baskets.

Answer

Answer:

B. No, the probability of Rocket making a free - throw is 0.85 over the long run.

Explanation:

Step1: Identify probability concept

Each free - throw is an independent event.

Step2: Analyze long - run probability

Rocket's long - run free - throw success rate is 85% or 0.85.

Step3: Evaluate Shamir's reasoning

Just because he missed the first four doesn't mean the next is guaranteed to be a success. Each free - throw has a 0.85 probability of success regardless of previous outcomes.