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Bag 1 contains 3 red balls and 7 green balls. Bag 2 contains 8 red balls...

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Statistics

Bag 1 contains 3 red balls and 7 green balls. Bag 2 contains 8red balls and 4 green balls. Bag 3 contains 5 red balls and 11green balls. Bag 1 is chosen twice as often as either Bag 2 or Bag3 (which have the same probability of being chosen). After a bag ischosen, a ball is chosen at random from that bag. Calculate theprobability that:

a) a red ball is chosen

b) a red ball from Bag 2 is chosen

c) if it is known that a red ball is chosen, what is theprobability that it comes from Bag 2?

Answer & Explanation Solved by verified expert
4.4 Ratings (730 Votes)
B1 Event of Choosing Bag 1B2 Event of choosing Bag 2B3 Event of choosing Bag 3Bag 1 is chosen twice as often as either Bag 2 or Bag 3 ie2PB1 PB2 PB3PB112 PB2PB3 14aR Event of red ball is chosenPRB1 Probability chooing Red    See Answer
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