Suppose a compact disk (cd) you just purchased has 1515 tracks. after listening to the cd, you decide that you like 66 of the songs. the random feature on your cd player will play each of the 1515 songs once in a random order. find the probability that among the first 55 songs played (a) you like 2 of them; (b) you like 3 of them; (c) you like all 55 of them.

(A) 0.4196

(B) 0.2398

(C) 0.0020

Step-by-step explanation:

Given,

Total songs = 15,

Liked songs = 6,

So, not liked songs = 15 - 6 = 9

If any 5 songs are played,

Then the total number of ways =  

(A) Number of ways of choosing 2 liked songs =

Since,

Thus, the probability of choosing 3 females and 2 males =

= 0.4196

Similarly,

(B)

The probability of choosing 3 liked songs =

= 0.2398

(C)

The probability of choosing 5 liked songs =

≈ 0.0020

the axial of symmetry

step-by-step explanation: