Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, three white ones, and one purple one. She grabs six of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has at most one green one.

Question
Asked Nov 19, 2019
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Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, three white ones, and one purple one. She grabs six of them. Find the probability of the following event, expressing it as a fraction in lowest terms.
 
She has at most one green one.
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Expert Answer

Step 1

Given data

No of red marbles = 4

No of green marbles = 2

No of white marbles = 3

No of purple marbles = 1

Let X denote the no of green marble

2 Cases for at most one green marb...

P(X = 0) + P(X
P(X 1)
1)
8
6,
10
28+112
.5.
10
6
3
210
6
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P(X = 0) + P(X P(X 1) 1) 8 6, 10 28+112 .5. 10 6 3 210 6

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Basic Probability

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