Question 1133258: a bag contain 2 white ball and 3 black balls obtain probability distribution of the of white balls if 2 balls are selected?
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! I assume the balls are selected without replacement
:
let w stand for a white ball and b stand for a black ball, then we have the following outcomes
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(w,w), (w,b), (b,w), (b,b)
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Probability(P) of (w,w) is (2/5)*(1/4) = 2/20 = 1/10
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P of (w,b) = (2/5)*(3/4) = 6/20 = 3/10
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P of (b,w) = (3/5)*(2/4) = 6/20 = 3/10
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P of (b,b) = (3/5)*(2/4) = 6/20 = 3/10
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Probability distribution of white balls
:
Number of White balls|Probability
0 0.3
1 0.6
2 0.1
:
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