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CBSE Class 10 Answered

A Box contains 3 white balls and 7 black balls.another box contains 4 white balls and 6 black balls.if we choose one ball from each boxes without looking into it a)probability of getting balls with colour B)probability of getting balls with different colours
Asked by | 18 Mar, 2013, 08:00: AM
answered-by-expert Expert Answer
It seems like the first part of your question talks about the probability of getting balls with same color 
 
Let W1 and W2 be the event of drawing a while ball from first and second bag respectively.
Let B1 and B2 be the event of drawing a black ball from first and second bag respectively.
 
Prob(same color) = P(W1W2) + P(B1B2)
Prob(same color) = P(W1) *P(W2) + P(B1)*P(B2) = 3/10 *4/10 + 7/10*6/10 = 0.54
 
Prob(diff color) = P(W1B2) + P(B1W2)
Prob(diff color) = P(W1) *P(B2) + P(B1)*P(W2)  = 3/10*6/10 + 7/10*4/10 = 0.46
Answered by | 18 Mar, 2013, 05:10: PM

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