Question

In basketball, when monica takes her first free throw, she has a 50% chance of scoring. if she takes an additional throw, she has a 75% chance of scoring on this throw if she scored on the immediately previous throw, but only a 25% chance of scoring on this throw if she didn't score on the immediately previous throw. suppose she has to take a set of three free throws in a row, and she doesn't score on the first one. what is the probability that she scores at least once on one of the subsequent two throws?

Answer 1

The probability that she scores at least once on one of the subsequent two throws is 37.5%. It is said that on the first row, she has a 50% chance of scoring. If she takes an additional throw, she has a 75% chance of scoring on this throw if she scored on the immediately previous throw, but only a 25% chance of scoring on this throw if she didn't score on the immediately previous throw. You are asked if she has to take a set of three free throws in a row, and she doesn't score on the first one and so multiply 75% by 50% and you will get 37.5%.