Probability 2

A box B1 contains 1 white ball, 3 red balls and 2 black balls. Another box B2 contains 2 white balls, 3 red balls and 4 black balls. A third box B3 contains 3 white balls, 4 red balls and 5 black balls.

If 1 ball is drawn from each of the boxes B1, B2 and B3, the probability that all 3 drawn balls are of the same color is,

566 648 \frac { 566 }{ 648 } 558 648 \cfrac { 558 }{ 648 } 82 648 \cfrac { 82 }{ 648 } 92 648 \cfrac { 92 }{ 648 }

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1 solution

Rohit Sachdeva
Aug 29, 2014

P(all W)=(1/6)x(2/9)x(3/12)=6/648

P(all R)=(3/6)x(3/9)x(4/12)=36/648

P(all B)=(2/6)x(4/9)x(5/12)=40/648

P(same color)=(6+36+40)/648

=82/648

Your calculations are right, but the fraction 82/648 should be simplified to 41/324.

Jon Haussmann - 6 years, 9 months ago

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