Question

During a single day at radio station WMZH, the probability that a particular song is played is 6/7. What is the probability that this song will be played on at least 5 days out of 6 days? Round your answer to the nearest thousandth.

Answer 1

The required probability is 0.462.

Explanation:

Probability to play the song = 6/7

Probability not to play the song = 1 - 6/7 = 1/7

Required probability

= Probability to play 5 days x probability not to play 1 one + Probability to play 6 days

`=\left ((6)/(7) \right ) ^5* (1)/(7) + \left ((6)/(7) \right ) ^6\\\\= (6^5 +6^6)/(7^6)\\\\=0.462`