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