Question

Find the probability of each event. Answer IN FRACTION form.

There are eleven songs on your playlist. Seven of them are country and four are pop. With random shuffle and no repetition, you listen to seven songs. What is the probability that you listened to all country songs?

Answer 1

1/330

Explanation:

Number of country songs= 7

Number of pop songs = 4

Total number of songs = 11

Probability that the first song listened to is would be a country:

= 7/11.

Pr (2nd song) = 6/10

Pr (3rd song) = 5/9

Pr (4th song) = 4/8

Pr (5th song) = 3/7

Pr (6th song) = 2/6

Pr (7th song) = 1/5

= 7/11 * 6/10 * 5/9 * 4/8 * 3/7 * 2/6 * 1/5

= 7/11 * 3/5 * 5/9 * 1/2 * 3/7 * 1/3 * 1/5

= 1/ 330

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