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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
19.    Â
Expand Your Knowledge: Odds in Favor Sometimes probability statements are expressed in terms of odds.
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The odds in favour of an event A are the   ratio
Â
P(A)
Â
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P(notA)
Â
P(A)
= P(Ac).
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For instance, if P(A) = 0.60, then P(Ac) = 0.40 and the odds in favor of A are
Â
0.60
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0.40
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6Â Â Â Â Â 3
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=Â Â Â Â =Â Â Â Â , written as 3 to 2 or 3:2 4Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 2
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Â
(a)Â Â Â Â Show that if we are given the odds in favor of event A as n:m, the probabil-
n
Â
ity  of  event  A  is  given by
Â
P(A) =
Â
. Hint: Solve the  equation
Â
n          P(A)
![]()
=
m      1 - P(A)
Â
Â
for P(A).
Â
n + m
Â
Â
(b)Â Â Â
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)Â Â Â Â 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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