9. In a race, the odds in favour of four horses A, B, C, D are 1:3, 1: 4,1: 5 and 1.11
respectively, Assuming that a dead heat (not more than one wins at a time is inopsible,
lind the chance that one of them will win the race. If there are five horses in all, what
is the probability of success for the fifth horse?
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Answer:
Step-by-step explanation:
Given, Odds in favour of four horses A,B,C,D are 1:3,1:4,1:5,1:6.
The probability of winning the horse A, P(A)=
4
1
The probability of winning the horse B, P(B)=
5
1
The probability of winning the horse C, P(C)=
6
1
The probability of winning the horse D, P(D)=
7
1
The probability that one of the horse winning the race =(P(A)+P(B)+P(C)+P(D))
=(
4
1
+
5
1
+
6
1
+
7
1
)
=
840
(210+168+140+120)
=
420
319
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