Question

You look over the songs in a jukebox and determine that you like 1414 of the 5252 songs. ​(a) What is the probability that you like the next four songs that are​ played? (Assume a song cannot be​ repeated.) ​(b) What is the probability that you do not like the next four songs that are​ played? (Assume a song cannot be​ repeated.)

Answer 1

Answer:

Step-by-step explanation:

given that you look over the songs in a jukebox and determine that you like 14 of the 52 songs

Here each song is independent of the other song

i.e. p = Probability that you like any song =$\frac{14}{52} =0.2692$

q = Prob you do not like = 1-0.2692 = 0.7308

a) the probability that you like the next four songs that are​ played

=$0.2692^4\\=0.00525$

b) the probability that you do not like the next four songs that are​ played

=$0.7308^4\\=0.2852$