Question

Hope is the coach of the Wilson High School girls' soccer team. There are 3 minutes left in the game they are currently playing, and they are losing by 1 goal. In the past, when losing by 1 goal, Hope has pulled a defender out of the game and replaced her with a forward a total of 9 times. When in the same position, she has left the defender in the game 10 times. In the situations when Hope has pulled her defender, the team has lost 4 times, tied 2 times, and won 3 times. In situations when she has left her defender in the game, the team has lost 1 time, tied 3 times, and won 6 times. Based on the information above, if the goal is to either tie or win the game, should Hope pull the defender or leave her in the game?

Answer 1

Hope should not pull her defender.

Explanation:

When Hope has pulled her defender:

The team had lost 4 times, tied 2 times, and won 3 times.

Hence, the total number of times she meets her goal is:

6 times (Since the goal is to either tie or win the game )

Hence, the probability that she meets her goal is = 6/9=2/3=0.66

When she left her defender in the game:

The team has lost 1 time, tied 3 times, and won 6 times.

Hence, the total number of times she meets her goal is: 9

Hence, the probability that she meets her goal is: 9/10=0.9

As the probability of meeting her goal is more when she left her defender in the game is more.

Hence, Hope should not pull her defender.