Question

A cereal company puts coupons for a free movie ticket in 20% of their boxes,

a free drink in 30% of their boxes, and a free popcorn in 40% of the boxes.
Luke designs a simulation with the spinner. He lets the numbers 0-1
represent a movie ticket coupon, 2-4 represent a drink coupon, and 5-8
represent a popcorn coupon. He spins the spinner and records the results.
His results are shown. Based on the simulation, what is the probability that
Luke gets all three prizes in three boxes of cereal? Explain.
716
796
176
262
730
742
639
450
634
292
822
415
020
462
383
678
117
926
312
635
714

Answer 1

To determine the probability of Luke getting all three prizes in three boxes of cereal, we need to find the probability of each individual event happening and then multiply those probabilities together.

The probability of getting a movie ticket coupon is 20% or 0.2.

The probability of getting a drink coupon is 30% or 0.3.

The probability of getting a popcorn coupon is 40% or 0.4.

Since Luke spins the spinner three times, the probability of getting all three prizes is calculated by multiplying the probabilities together:

P(all three prizes) = P(movie ticket) * P(drink) * P(popcorn)

= 0.2 * 0.3 * 0.4

= 0.024 or 2.4%

Therefore, based on the simulation, the probability that Luke gets all three prizes in three boxes of cereal is 2.4%.