3.90. There are four numbered balls in a box: 2 white and 2 black. In how many ways can 2 balls be chosen, among which at most one will be black? (a) List all the possibilities. b) Why the number of ways in point a ) cannot be calculated in the following way: we choose one white ball in 1 ways and another ball any of the remaining balls in ways, 1 so together we have 2· 3=6ways?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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3.90. There are four numbered balls in a box: 2 white and 2 black. In how many ways can 2 balls be
chosen, among which at most one will be black?
(a) List all the possibilities.
b) Why the number of ways in point a) cannot be calculated in the following way: we choose one
2
ways and another ball any of the remaining balls in ways,
3
white ball in
so together we have
1
1
2·3=6ways?
Transcribed Image Text:3.90. There are four numbered balls in a box: 2 white and 2 black. In how many ways can 2 balls be chosen, among which at most one will be black? (a) List all the possibilities. b) Why the number of ways in point a) cannot be calculated in the following way: we choose one 2 ways and another ball any of the remaining balls in ways, 3 white ball in so together we have 1 1 2·3=6ways?
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