1.

One box contains 8 black balls and 12 white balls. Another box contains 9 black and 6 white balls. One ball is taken from each box at random. What is probability of getting both black? What is the probability of getting both white? What is the probability of getting one black and one white?

Answer»

Total pairs = 20 x 15 = 300 

Number of pairs getting both black= 8 x 9 = 72

Probability of getting both black = \(\frac{72}{300}=\frac{6}{25}\)

Probability of getting one black and one white = \(\frac{8\times6+12\times9}{300}=\frac{156}{300}=\frac{39}{75}\)



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