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# 1313_quiz10_after - 1313 Quiz#10 Urn A contains 7 yellow...

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1 1313 – Quiz#10 Urn A contains 7 yellow balls and 3 red balls. Urn B contains 10 yellow balls and 7 red balls. Urn C contains 12 yellow balls and 4 red balls. An urn is picked randomly (assume that each urn is equally likely to be chosen), and then a ball is picked from the selected urn. What is the probability that the chosen ball came from urn B, given that it was a yellow ball? a) 0.3680 b) 0.3434 c) 0.2886 d) 0.0703 e) 0.0849 f) None of the above. 11 yellow balls and 14 red balls are placed in an urn. Two balls are then drawn in succession without replacement. What is the probability that the first ball drawn is a red ball if the second ball drawn is yellow? a) 0.6000 b) 0.4400 c) 0.5833 d) 0.1276 e) 0.9167 f) None of the above.

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2 An arcade booth at a county fair has a person pick a coin from two possible coins available and then toss it. If the coin chosen lands on heads, the person gets a prize. One coin is a fair coin and one coin is a biased coin (unfair) with only a 39% chance of getting a head. Assuming equally likely probability of picking either coin, what is the probability that the fair coin is the one chosen, given that the chosen coin lands on heads?
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