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Tpy6a [65]
3 years ago
8

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.
Mathematics
1 answer:
Vlad [161]3 years ago
4 0

Answer:

The required probability is 0.462.

Step-by-step 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 (\frac{6}{7}  \right ) ^5\times \frac{1}{7} + \left (\frac{6}{7}  \right ) ^6\\\\= \frac{6^5 +6^6}{7^6}\\\\=0.462

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