Probability02

2009-10-14 4:37 am
Betty has 3 bags of balls.
BagA:3white ball and 2 red balls
B:2white ball and 3 blue balls
C:1 red ball

After drawing a ball,she puys the ball back to the original bag. Then she draws another ball from a randomly selected bag.What is the probability that both balls drawn are red and they come from the same bag?

回答 (3)

2009-10-14 4:56 am
✔ 最佳答案

P(both balls drawn are red and they come from the same bag)
= P(BagA red twice) + P(BagC twice)
= [(1/3)(3/5)]^2 + (1/3)^2
= 1/25 + 1/9
= 34 / 225





2009-10-13 21:03:24 補充:
Corrections :

P(both balls drawn are red and they come from the same bag)

= P(BagA red twice) + P(BagC twice)

= [(1/3)(2/5)]^2 + (1/3)^2

= 4/225 + 1/9

= 29 / 225

Thanks for nelsonywm2000 .
2009-10-21 5:01 am
2009-10-14 4:59 am
Only 2 red balls in A


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