Q:- Three horses A B and C are in race. A is twice as likely to win as B and B is twice as likely to win as C.what is the probability that B or C wins.
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Q:- Three horses A B and C are in race. A is twice as likely to win as B and B is twice as likely to win as C.what is the probability that B or C wins.
The total probability is 1.
So, P(A)+P(B)+P(C)=1
Since P(A) = 2P(B) and P(B)=2P(C), you can rewrite
P(A)+P(B)+P(C)=1 as 2P(B)+P(B)+0.5P(B)=1
Therefore P(B) = 1/(2+1+0.5) = 1/3.5 = 2/7
For P(C), it'll be 4P(C)+2P(C)+P(C) = 1
And P(C) = 1/(4+2+1) = 1/7
P(B or C) = 1/7 + 2/7 = 3/7
Ok? :)
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