Explanation Given: Total number of black balls are 4, total number of blue balls are 2, total number of green balls are 7, number of balls drawn from the basket without replacement are 3. Explanation: Number of ways to select two black balls out of four black balls: C ( 4 , 2 ) = 4 ! ( 4 − 2 ) ! ⋅ 2 ! = 4 ⋅ 3 ⋅ 2 ! 2 ! ⋅ 2 ! = 6 Number of ways to select one green ball out of seven green balls: C ( 7 , 1 ) = 7 ! ( 7 − 1 ) ! ⋅ 1 ! = 7 ⋅ 6 ! 6 ! ⋅ 1 ! = 7 Number of ways to select one blue ball out of two blue balls: C ( 2 , 1 ) = 2 ! ( 2 − 1 ) ! ⋅ 1 ! = 2 Number of ways to select three balls out of 13 balls from the basket: C ( 13 , 3 ) = 13 !

11th Edition

ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 8, Problem 28RE

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The probability that the sample contains exactly two black balls.

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