Question

For a quarterback, the probability of throwing a completed pass is 60%, and the probability of gaining more than 10 yards on a running play is 25%.

What is the probability of gaining more than 10 yards on a running play and then throwing a completed pass? Express your answer as a decimal rounded to the nearest hundredth.

What is the probability of throwing 3 completed passes in a row? Express your answer as a decimal rounded to the nearest hundredth.

Answer 1

The probability of gaining more than 10 yards then throwing a completed pass is 15%.

To find the chance of both events happening, you multiply the percents.
0.25 x 0.6 = 0.15 or 15%

The chance of throwing 3 completed passes would be:
0.6 x 0.6 x 0.6 = 0.216 or 21.6%