Thread: probability
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Old January 1st, 2009, 03:04 AM
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Originally Posted by mathaddict View Post
THanks Isomorphism ,

My second attempt :

P(A wins ) = 2[1-P(B wins)-P(draw)]
P(A wins) = 2-2P(B wins)-2P(draw) ------ 1st equation

P(B wins)= 3P(draw) ----- 2nd equation

P(draw) = 1-P(A wins)-P(B wins ) ---- 3rd equation

But after simplifying , i got P(draw)=1/4
My answer is wrong according to the book . Did i get the equations right in the first place ? Thanks for any help ..
Let Pr(B beats A) = Pr(A loses) = p.

Given: Pr(A beats B) = Pr(A wins) = 2p.

Given: Pr(A and B draw) = p/3.

p + 2p + (p/3) = 1.

Solve for p.

I get Pr(Draw) = 1/10.
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