Question

The probability that a football game will go into overtime is 18​%. What is the probability that exactly two of three football games will go to into​ overtime? Round to the nearest thousandth.

Answer 1

Answer:

0.027

Step-by-step explanation:

Let the probability of a match going to overtime be P(O) and the probability of a match not going to overtime be P(N).

Now we are given some values: P(O) = 18% = 18/100 = 0.18

Also , we know that P(N) = 1 - P(O) since there are only two options here.

P(N) = 1 - 0.18 = 0.82

Now, we are asked to find the probability that exactly two of three games will go into overtime

This is P = P(O) * P(O) * P(N)

P = 0.18 * 0.18 * 0.82 = 0.026568 = 0.027 to the nearest thousandth