Question

In a baseball league, there are four divisions, each consisting of six teams. A sportswriter predicts the winner of each of the four divisions by choosing a team completely at random in each division. What is the probability that the sportswriter will predict at least one winner correctly?

The probability that the sportswriter will predict at least one winner correctly is?

Answer 1

To find the probability of predicting at least one winner correctly, subtract the probability of not predicting any winners correctly from 1.

Step-by-step explanation:

To find the probability that the sportswriter will predict at least one winner correctly, we need to find the probability that they will not predict any winners incorrectly and subtract it from 1.

The probability of not predicting a winner correctly in each division is 5/6, since there are 6 teams and they are choosing at random. So, the probability of not predicting a winner correctly in all four divisions is (5/6)^4.

Therefore, the probability of predicting at least one winner correctly is 1 - (5/6)^4.