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?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)
Player 3 is more likely to hit the ball than Player 1 because P(Player 3) > P(Player 1)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
Question 13(Multiple Choice Worth 2 points)

Answer 1

After converting the players' batting averages to decimal form, Player 2 has the highest likelihood of hitting the ball with a probability of 0.625, followed by Player 1 with 0.571, and Player 3 with 0.5.

Step-by-step explanation:

To determine which softball player is more likely to hit the ball based on their batting averages, which are expressed as probabilities, we first need to compare the probabilities associated with each player. The batting averages are represented as follows: Player 1 has an average of four sevenths (4/7), Player 2 has an average of five eighths (5/8), and Player 3 has an average of three sixths (3/6 or 1/2).

To compare the probabilities, we should convert them into decimals or find a common denominator. Doing the conversion to decimals: Player 1 has a batting average of 0.571, Player 2 has 0.625, and Player 3 has 0.5.

By comparing these decimals, it is clear that Player 2 has the highest probability of hitting the ball. Therefore, the correct statement is: Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1).

It is also evident that both Player 1 and Player 2 are more likely to hit the ball than Player 3 since their probabilities are higher than 0.5.

Answer 2

Player 3 is more likely to hit the ball than Player 2 because P (Player 3) > P (Player 2).

Step-by-step explanation:

The true statement about the probability when the softball players discussed their batting averages after a game is Player 3 is more likely to hit the ball than Player 2 because P (Player 3) > P (Player 2). The likelihood of randomly selecting a terrier from the shelter is equally likely and unlikely as it's 50%.