Question

A music enthusiast wants to estimate the probability that the next three songs she plays are all country songs. Which simulation design could she use to estimate the probability?

a. Assigning random digits: Let 1, 2, 3, 4, 5 represent rock songs, and 6, 7, 8, 9 represent country songs.

b. Shuffling a deck of cards: Use a standard deck of cards, with red cards representing rock songs and black cards representing country songs.

c. Drawing marbles from a bag: Use a bag with different colored marbles, where each color represents a different genre, and determine the probability based on the drawn marbles.

d. Flipping a coin: Assign one side of the coin to rock and the other side to country, and simulate the next three songs based on coin flips.

Answer 1

The music enthusiast can use simulation design (a) by assigning random digits to estimate the probability that the next three songs she plays are all country songs.

Step-by-step explanation:

The music enthusiast can use simulation design (a) by assigning random digits to estimate the probability that the next three songs she plays are all country songs. In this design, she can assign the numbers 1, 2, 3, 4, 5 to represent rock songs and 6, 7, 8, 9 to represent country songs.

She can then simulate playing the next three songs by generating three random digits and checking if they correspond to country songs or not.