SOLUTION: whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, three white ones, and two purple ones. She g

Question 1115053: whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, three white ones, and two purple ones. She grabs five of them. Find the probability of the following event, expressing it as a fraction in lowest terms.
She has two red ones and one of each of the other colors.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
P = P(2Red+1Green+1White+1Purple) = (# of ways this can happen) / (# ways of selecting 5 marbles)
Total marbles = 3+4+3+2 = 12
# ways of selecting 5 from 12: 12C5 = 792

# ways of selecting 2Red, 1Green, 1White, 1Purple: 3C2 * 4C1 * 3C1 * 2C1 = 3*4*3*2 = 72

P = 72/792 =
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While I think this is correct, a 2nd opinion might be a good idea.

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