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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
19.
Expand Your Knowledge: Odds in Favor Sometimes probability statements are expressed in terms of odds.
The odds in favour of an event A are the ratio
P(A)
![]()
P(notA)
P(A)
= P(Ac).
For instance, if P(A) = 0.60, then P(Ac) = 0.40 and the odds in favor of A are
0.60
![]()
0.40
6 3
![]()
= = , written as 3 to 2 or 3:2 4 2
(a) Show that if we are given the odds in favor of event A as n:m, the probabil-
n
ity of event A is given by
P(A) =
. Hint: Solve the equation
n P(A)
![]()
=
m 1 - P(A)
for P(A).
n + m
(b)
A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 2 to 15. What is the probability of a successful call?
(c) A sports announcer says that the odds a basketball player will make a free throw shot are 3 to 5. What is the probability the player will make the shot?
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