Question

Algebra 2 Probability Help

Answer 1

A football quarterback has 2 more chances to throw a touchdown before his team is forced to punt the ball. He misses the receiver on the first throw 30% of the time. When his first throw is incomplete, he misses the receiver on the second throw 10% of the time. What is the probability of not throwing the ball to a receiver on either throw?

Answer 2

Let A be the event that he misses the first throw. Then P(A) = 0.3
Let B be the event he misses the second throw. Then P(B|A) = 0.1
\[P(A\cap B)=P(A)\times P(B|A)=0.3\times0.1\]

Answer 3

If the answer is required as a percentage, just multiply the result of the calculation by 100.