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Jukebox You look over the songs on a jukebox and determine
Chapter 3, Problem 43E(choose chapter or problem)
Problem 43E
Jukebox You look over the songs on a jukebox and determine that you like 15 of the 56 songs.
(a) What is the probability that you like the next three songs that are played? (Assume a song cannot be repeated.)
(b) What is the probability that you do not like the next three songs that are played? (Assume a song cannot be repeated.)
Questions & Answers
QUESTION:
Problem 43E
Jukebox You look over the songs on a jukebox and determine that you like 15 of the 56 songs.
(a) What is the probability that you like the next three songs that are played? (Assume a song cannot be repeated.)
(b) What is the probability that you do not like the next three songs that are played? (Assume a song cannot be repeated.)
ANSWER:
Solution
Step 1 of 2
Given that there are 56 songs in a juke box
In that you like 15 songs
a) We have to find the probability of you like next three songs that are played
The probability of playing the first song that you like is (15/56)
The probability of playing the first song that you like is (14/55)
The probability of playing the first song that you like is (13/54)
Now the probability of you like next three songs that are played is
=0.0164
Hence the probability of you like next three songs that are played is 0.0164