Teams A and B play a series of games with the first team to win 4 games being declared the winner of the series. Suppose that team A independently wins each game with probability 0.6. Find the probability that team A wins the series.

Answer 1

P = .6^4 = .6 * .6 *.6 *.6 = ?

Answer 2

Assuming that A wins the first four games.

P = .6^4 = .6 * .6 *.6 *.6 = ?

Answer 3

. Assume you have applied to two different jobs A and B. In the past, 20 % of applicants who applied for Job A were offered jobs, while Job B offered 10 % of the applicants. Assume events are independent of each other.
(a) What is the probability that you will be offered both jobs? (b) What is the probability that you will be offered at least one job? (c) What is the probability that one and only one of the jobs will be offered to you? (d) What is the probability that neither jobs will be offered to you?
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