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6. A box contains 30 red balls, 30 white balls, and 30 blue balls. If 10 balls are selected at random, without replace- ment,

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Answer #1

6)

Required probability = P(at least one color is missing from the selection)

= P(exactly one color is missing from the selection) + P(exactly two colors are missing from the selection)

= [P(red color is missing from the selection) + P(white color is missing from the selection) + P(blue color is missing from the selection)]

+ [P(red and white color is missing from the selection) + P(red and blue color is missing from the selection) + P(white and blue color is missing from the selection)]

= [P(all balls are white or blue) + P(all balls are red or blue) + P(all balls are red or white)]

+ [P(all balls are blue) + P(all balls are white) + P(all balls are red)]

60 60 60 30 10 90 10 10, + 90) 90 (90 (90 90 10. 10 10 10 10 10 + +

0.0395 0.000018 0.039518

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