Question

suppose that a spotify playlist has 8 tracks. after listening to all the songs, you decide that you like 3 of them. with the random feature on the playlist, each of the 8 songs is played once in random order. find the probability that among the first two songs played
(a) you like both of them. would this be unusual?
(b) you like neither of them.
(c) you like exactly one of them.
(d) redo (a)-(c) if a song can be replayed before all 8 songs are played (if, for example, track 2 can play twice in a row).
(a) the probability that you like both songs is 0.107
(round to three decimal places as needed.)
would it be unusual for you to like both of the songs? choose the correct answer
no
yes

Explanation:

Step1: Determine the criteria for unusual events

An event is considered unusual if its probability is less than or equal to \(0.05\).

Step2: Compare the given probability with the criteria

The probability that you like both songs is \(P = 0.107\). Since \(0.107>0.05\).

Answer:

No