Question

Alia wants to play a basketball game at a carnival. the game costs the player $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 back. if they make both shots, they get $10 back. Talia has a 40% chance of making this type of shot.

Answer 1

In this game, Alia pays $5 to play and gets two long-distance shots. The probability that Alia makes both free throws is 16%.

Step-by-step explanation:

In this game, Alia pays $5 to play and gets two long-distance shots. Let's analyze the possible outcomes:

1. If Alia misses both shots, she gets nothing.
2. If Alia makes one shot, she gets her $5 back.
3. If Alia makes both shots, she gets $10 back.

We are given that Talia has a 40% chance of making this type of shot. To find the probability that Alia makes both free throws, we multiply the probabilities of making each shot: 0.4 x 0.4 = 0.16, or 16%. Therefore, the probability that Alia makes both free throws is 16%.