Answer:
a) 0.17
b) 0.28
c) 0.45
(D.a) 0.20
D.b) 0.31
D.c). 0.5
Step-by-step explanation:
We are given
All songs = 9
I liked 4 songs
Therefore disliked songs will be:
9 - 4 = 5 songs
We are asked to find the probability that among the first two songs played
a)Probability of liking the first 2 songs=
[tex] \frac{4}{9} * \frac{3}{8} = 0.17 [/tex]
No, it is not unusual, because we consider an event with a Probability more than 0.05 a usual event.
(b) probability that I like neither of them=
[tex] \frac{5}{9} * \frac{4}{8} = 0.28 [/tex]
(c) Probability I like exactly one of them =
[tex] \frac{4}{9} * \frac{3}{8} + \frac{5}{9} * \frac{4}{8} = 0.45 [/tex]
(d) Redo (a)-(c) if a song can be replayed before all
D.a) Probability I like both of them. Would this be unusual?
[tex] \frac{4}{9} * \frac{4}{9} =0.19=> 0.2[/tex]
No, it is not unusual, because we consider an event with a Probability more than 0.05 a usual event.
d.b) Probability I like neither of them=
[tex] \frac{5}{9} + \frac{5}{9} = 0.31 [/tex]
d.c) Probability I like exactly one of them=
[tex] \frac{4}{9} + \frac{5}{9} + \frac{5}{9} + \frac{4}{8} = 0.49 => 0.5 [/tex]
