In practice, Rishi has the following free-throw accuracy:
• From 5 m, he is able to sink the ball 50% of the time.
• From 10 m, he is able to sink the ball half as often as from 5 m.
• From 15 m, he is able to sink the ball half as often as from 10 m.
In the tryouts for the school team, Rishi will get one shot from
each distance.

How can you predict the probability that Rishi will
sink all three shots?
Questions
A. Predict the probability that Rishi will sink all three shots.

B. Design a simulation to model Rishi’s chances of sinking all
three shots. Explain why your choice is appropriate.

C. Use your simulation to calculate the experimental probability
that all three shots will go in.

D. Compare your predicted probability with the experimental
probability. Which do you think would be the more likely
result if you did the simulation again?