Probability Distribution

SoccerBoss
Category:
Statistics
Price: $5 USD

Question description

Two individuals A and B, are finalists for a chess championship. They will play a sequence of games, each of which can result in a win for A, a win for B, or a draw. Suppose that the outcomes of successive games are independent, with P(A wins)=.3, P(B wins)

=.2, and P(draw)=.5. Each time a player wins a game he earns one point and opponent earns none. No points are given to either player for a draw. The first player to win five points wins the championship.

a) What is the probability that A wins the championship in just five games?

b) What is the probability that it takes just five games to obtain a champion?


Tutor Answer

(Top Tutor) Daniel C.
(997)
School: UIUC
PREMIUM TUTOR
Studypool has helped 1,244,100 students
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1822 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors