Question 59695: please help me
bowl 1 contain 6 red chips and 4 blue chips, five of these 10 chips are selected at random wihtout replacement and put in powl 2 , which was orginally empty, one chip is then drawn at random from bowl 2 ,relative to the hypotheses that this chip is blue , find the conditional prob that 2 red chips and 3 blue, find the conditional prob that 2 red chips and 3 blue chips are transferred from bowl 1 to bowl 2
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! bowl 1 contain 6 red chips and 4 blue chips, five of these 10 chips are selected at random wihtout replacement and put in powl 2 , which was orginally empty, one chip is then drawn at random from bowl 2 ,relative to the hypotheses that this chip is blue , find the conditional prob that 2 red chips and 3 blue, find the conditional prob that 2 red chips and 3 blue chips are transferred from bowl 1 to bowl 2
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How many 2red3blue groups are there in bowl one?
Ans: [6C2][4C3]=60
How many 5 chip combinations are there in bowl one?
Ans:10C5=252
Prob(transfer 2red3blue from bowl 1 to bowl 2)= 60/252
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Prob(2red3blue|b)=??
This looks like a Bayes problem.
P(2red3blue|b)=[P(b|2r3b)*P(2r3b)]/[P(b)]
=[(3/5)(60/252)]/[4/10]
=0.357
Cheers,
Stan H.
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