The probability that a randomly selected person at a show has seen the band play live before is 30%. A "superfan" is defined as someone who has seen the band play live at least 10 times. The probability that a person at a show is a "superfan" is 20%. Two people are selected at random. What is the probability that both people have both seen the band perform live before, and are superfans?

0.09 and 0.04

Step-by-step explanation:

The probability that a randomly-selected person at a show has seen the band play live before is 30%=0.30

The probability that a person at a show is a "superfan" is 20%=0.20

Two people are selected at random.

The probability that both people have both seen the band perform live before  = The probability that the first person has seen the band live before and the second person also has seen the band live before.

=0.30 x 0.30

=0.09

Similarly, the probability that both are  "superfans"   = The probability that the first person is a superfan and the probability that the second person is a superfan.

=0.20 x 0.20

=0.04

Hence, the probability that both people have both seen the band perform live before, and are "superfans" are 0.09 and 0.04 respectively.

51-50

step-by-step explanation: