Question

Three softball players discussed their batting averages after a game.

................Probability
Player 1: four sevenths
Player 2: five eighths
Player 3: three sixths


By comparing the probabilities and interpreting the likelihood, which statement is true?
A. Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
B. Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)
C. Player 3 is more likely to hit the ball than Player 1 because P(Player 3) > P(Player 1)
D. Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)

Answer 1

Answer: B: Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)

Explanation:

Answer 2

B. Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)

Explanation:

This statement is true because the probability of Player 2, which is five eighths, is greater than the probability of Player 1, which is four sevenths. It is important to note that in order to compare the probabilities, it is necessary to convert the fractions to a common denominator. In this case, the common denominator is 56, then we can say that P(Player 2) = 35/56 and P(Player 1) = 28/56. Since 35/56 > 28/56, it is more likely that Player 2 will hit the ball than player 1.