Question

Evan has equal numbers of pop songs, jazz songs, and rock songs loaded on his personal music player. He has it set to play songs on a random shuffle. Suppose Evan is designing a simulation that could be used to estimate the probability that the next two songs to play are both jazz songs.

Which simulation design could Evan use to estimate the probability?

A. Coin
Let heads (H) = jazz
Let tails (T) = pop or rock
Toss coin three times. Repeat.

B. Number cube
Let 1 = pop
Let 2 jazz
Let 3 = rock
Roll cube four times. Repeat.

C. Number cube
Let 1,2 = pop
Let 3,4 = jazz
Let 5, 6 = rock
Roll cube two times. Repeat.

D. Random Digits
Let 1,2,3 = jazz
Let 4,5,6 = pop
Let 7,8,9,0 = rock
Select two random digits. Repeat.

Answer 1

Evan could use option C. Number cube to estimate the probability of the next two songs being jazz songs.

Step-by-step explanation:

The simulation design that Evan could use to estimate the probability that the next two songs to play are both jazz songs is option C.

Number cube: Let 1,2 = pop, let 3,4 = jazz, let 5, 6 = rock. Roll the cube two times and repeat.