A particular Spotify playlist contains 105 songs, of which 10 are by the Beatles. Suppose the shuffle feature is used to play th

Question

3 years ago

15

e songs in random order. What is the probability that the first Beatles song heard is the fifth song played?

1 answer:

katovenus [111] · Answer 1 · 2022-02-25T15:22:02+03:00

Answer: The required probability is 0.3296.

Step-by-step explanation:

Since we have given that

Number of songs = 105

Number of songs are by the Beatles = 10

So, Number of songs are not by the Beatles = 105-10=95

So, the probability that the first Beatles song heard is the fifth song played is given by

$\dfrac{^{95}C_4\times ^{10}C_1}{^{105}C_5}\\\\=0.3296$

Hence, the required probability is 0.3296.