Ask Question
14 December, 18:26

Two teams A and B play a series of games until one team wins four games. We assume that the games are played independently and that the probability that A wins any game is p. What is the probability that the series lasts exactly five games?

+4
Answers (1)
  1. 14 December, 18:38
    0
    4pq (p³+q³)

    Step-by-step explanation:

    Exactly 5 game would be when 4 wins and 1 loss of a particular person

    loss has to be one of the first 4 games

    A wins: qp⁴ + pqp³ + p²qp² + p³qp

    = qp⁴ + qp⁴ + qp⁴ + qp⁴ = 4qp⁴

    B wins: pq⁴ + qpq³ + q²pq² + q³pq

    = pq⁴ + pq⁴ + pq⁴ + pq⁴ = 4pq⁴

    A wins or B wins:

    4pq⁴ + 4qp⁴ = 4pq (q³+p³)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Two teams A and B play a series of games until one team wins four games. We assume that the games are played independently and that the ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers