Question

Nishi, who has a 70% free-throw percentage, is in a two-attempt free-throw situation. This means she will attempt the second free throw no matter what happens on the first. What is the probability of scoring zero points?

Answer 1

9% that is your answer!

Answer 2

Nishi has a 70% chance of making a free-throw. This means that out of 100%, Nishi will miss the free-throw 30% of the time.

Zero points means that Nishi will have to miss the free-throw twice. To calculate this occurrence, we must multiply the chances of Nishi missing twice.

This occurrence asks for a 30% chance to happen the first free throw, and a 30% chance to happen on the second free throw. Convert the percentages to a decimal:


`30 / 100 = .30`

Multiply these two occurrences together:


`.30 * .30 = 0.09`

Convert this decimal back into a percentage:


`0.09 * 100 = 9`

There is a 9% chance that Nishi will score zero points.