Question

Jamie and Kyle ask a Magic 8-ball three questions. A Magic 8-ball has 20 possible responses for a question. a. What is the probability that the responses are ``Ask again later,'' ``It is decidedly so,'' and ``Very doubtful'' in that order? b. What is the probability that all three responses are ``Ask again later''? c. What is the probability that at least one response is ``Ask again later''?

Answer 1

here number of ways 3 response can come =20*20*20 =8000 (As 20 choice for each response)

a)

probability that the responses are ``Ask again later,'' ``It is decidedly so,'' and ``Very doubtful'' in that order =(1/20)*(1/20)*(1/20)=1/8000 (As that order is one of 8000 possible order of 3 response)

b)

probability that all three responses are ``Ask again later'' =(1/20)*(1/20)*(1/20)=1/8000

c)

probability that at least one response is ``Ask again later'

=1-P(all respoonse are different from Ask me later) =1-(19/20)*(19/20)*(19/20)=1141/8000