Problem 2. A bin contains three components from Supplier A, four from Supplier B, and five from Supplier C. If four of the components are randomly would have that each supplier selected for testing. What is the probability at least one component tested?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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BR
B
A
A
Problem 2. A bin contains three components from Supplier A, four from
Supplier B, and five from Supplier C. If four of the components are randomly
selected for testing. What is the probability that each supplier would have
at least one component tested?
# of components = 3+4+5=12
12
3!4:5!
U
XX11
=
110
x 36 x6 15
660
3300
x3 960
27,720
41 =24
!!!
(14₁)
8!
(₁8) = 21314)
= 27.720
=
4
3
1220
27
88x7xxxxxxx
70
X2X1
(2x1)x (3x2x1)x (Ux2x2|
Transcribed Image Text:BR B A A Problem 2. A bin contains three components from Supplier A, four from Supplier B, and five from Supplier C. If four of the components are randomly selected for testing. What is the probability that each supplier would have at least one component tested? # of components = 3+4+5=12 12 3!4:5! U XX11 = 110 x 36 x6 15 660 3300 x3 960 27,720 41 =24 !!! (14₁) 8! (₁8) = 21314) = 27.720 = 4 3 1220 27 88x7xxxxxxx 70 X2X1 (2x1)x (3x2x1)x (Ux2x2|
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