Question

During a 20-song sequence on a radio station, 8 soft-rock, 7 hard-rock, and 5 rap songs are played at random. Assume that all of the songs are the same length. What is the probability that when you turn on the radio, a hard-rock song will be playing?

A) 7/20
B) 1/3
C) 7/13
D) 7/15

Answer 1

The probability that a hard-rock song is playing when you turn on the radio, with 7 hard-rock songs in a 20-song sequence, is 7/20, which is answer A.

Step-by-step explanation:

The question asks: What is the probability that when you turn on the radio, a hard-rock song will be playing? Given a 20-song sequence made up of 8 soft-rock, 7 hard-rock, and 5 rap songs, we calculate the probability of a hard-rock song being played by dividing the number of hard-rock songs by the total number of songs.

Probability of a hard-rock song playing = Number of hard-rock songs / Total number of songs

= 7 hard-rock songs / 20 total songs

= 7/20

Therefore, the correct answer is A) 7/20.