Question

Leila is playing a carnival game in which she is given 4 chances to throw a ball through a hoop. If her chance of success on each throw is 1/5, what is the chance that she will succeed on at least 3 of the throws?

Answer 1

1 in 64

Step-by-step explanation:

The act of throwing the ball and making the basket in basketball is an independent event. This means that each time Leila plays the ball, it is independent of the outcome of the previous or subsequent throw. In this case, simply multiply the probability by the number of times it will throw the ball.

Probability of hitting each shot: 1/4

Possibility of hitting the first three pitches: 1/4 x 1/4 x 1/4 = 1/64

Thus, Leila's chance to hit the first three balls thrown into the basketball hoop is 1 in 64.