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

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:

$30 \div 100 = .30$

Multiply these two occurrences together:

$.30 \times .30 = 0.09$

Convert this decimal back into a percentage:

$0.09 \times 100 = 9$

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

Answer 2

Answer:

9% that is your answer!