# 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, five white ones, and one purple one. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms.She has at least one green one.

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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, five white ones, and one purple one. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms.

She has at least one green one.
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Step 1

Total number of marbles = 4+2+5+1

=12

Total number of marbles without green = 4+5+1

= 10

Total number of green marbles = 2

Step 2

Let X is random variable that represents the number of green marbles.

If she grabs eight of them tha... help_outlineImage TranscriptioncloseP(X21)1-P(X= 0) 10 'Cs =1- 10 x9 2x1 12x11x 10x 9 =1- 4x3x2x1 1 =1- 11 10 11 =0.909 fullscreen

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### Basic Probability 