# Math

posted by Chris

A bag contains 9 red marbles, 8 white marbles, and 6 blue marbles. You draw 4 marbles out at random, without replacement. What is the probability that all the marbles are red?

What is the probability that exactly two of the marbles are red?
The probability that exactly two of the marbles are red is...?

1. something

9/23 bc there are 9 red marbles and 23 marbles altogether

2. potato

^thats only for choosing one marble out of the bag

you have to solve for choosing 4 marbles out of the bag, and 2 of them are red

3. Reiny

prob(4reds)
= (9/23)(8/22)(7/21)(6/20)
= 18/1265

or

prob(4reds)
= C(9,4) / C(23,4) = 126/8855 = 18/1265
= appr .014

prob(2 out of 4 are red)
= C(9,2) * C(14,2)/C(23,4)
= 36*91/8855
= 468/1265 = appr .37

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