Coins Bag
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A bag contains two biased coins: coin A shows Heads with probability 0.6 and coin B shows Heads with prob 0.?
A bag contains two biased coins: coin A shows Heads with probability 0.6 and coin B shows Heads with prob 0.25?
A:
Heads 0.6
Tails 0.4
B:
Heads 0.25
Tails: 0.75
Find the probability that the coin chosen was coin A, given that the three tosses result in two heads and one tail.
P[2 heads, 1 tail]
coin A : 3C2*0.6^2*0.4 = 0.432
coin B : 3C2*0.25^2*0.75 = 0.140625
odds in favor of A = 0.432 / 0.140625 = 3.072 to 1
reqd. probability = 3.072 / 4.072
= 0.7544 or 75.44%
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Attack Of The Bag by Craig Petty
![]() DOMO Wallet Purse Brown US $.99
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February 27, 2010
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Posted by admin

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