Question

Jordan wants to play a basketball game at a carnival. The game costs the player \$5$5dollar sign, 5 to play, and the player gets to take two long-distance shots. If they miss both shots, they get nothing. If they make one shot, they get their \$5$5dollar sign, 5 back. If they make both shots, they get \$10$10dollar sign, 10 back. Jordan has a 40\%40%40, percent chance of making this type of shot.

Answer 1

Based on the payoffs and the probabilities given, we can calculate the mean to be 0.8 shots made.

What is the mean?

The mean in this scenario will be a weighted average of the probabilities that a number of shots will be made.

The mean will be:

= ∑ (Number of shots x Probability of number of shots)

= (0 x 0.36) + (1 x 0.48) + (2 x 0.16)

= 0.8 shots

In conclusion, the mean is 0.8 shots.

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