Suppose you just purchesed a digital music player and have put 15 tracks on it.

Question

Suppose you just purchesed a digital music player and have put 15 tracks on it. Alfter listening to them you decide that you lkm 4 of the songs With the andom feature on once in random order. Find the probability that among the fist two songs played (a) You like both of them Would this be unuual? (b) You Eke neither of them (e) You like exadly one of them d) Redo (aHc) a song can be replayed before all 15 songs are played your player, oach of the 15 songs is played (a) The probability that you lke both songs is Round to throo decimal places as needed.) is Would it be unusual for you to like both of the songs? O No (b) The probability that you like neither song is (Round to three deaimal places as needed.) (c) The probability that you ike exactly one song is Round to three decimal places as needed.) (d)The probablity that youlke both sorgs is Round to hree decial places as needed The probability that you Eine neither song is Round to three decimal places as needed) The probability thet you lke exactly one song s Round to three decimal places as needed)

Explanation / Answer

Total songs = 15

Number of songs you like = 4

a) P(you like both songs) = 4C2/15C2 = 0.057

No

This is not unusual because the probability is greater than 0.05

b) P(you like neither songs) = 11C2/15C2 = 0.524

c) P(you like exactly 1 song) = 4C1 x 11C1 / 15C2 = 0.419

d) P(you like both songs) = 4C2/15C2 = 0.057

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