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# probability! marbles in bag

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A bag has 3 red marbles and 5 blue marbles. If you randomly pull out 4 marbles, what is the probability of getting two red ones and two blue ones?

Jun 3, 2020

#1
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There are 1680 possible combinations for pulling out marbles. (8*7*6*5)

There are 6 possible combinations for getting 2 red and 2 blue. (RRBB, RBRB, BRBR, BBRR, BRRB, and RBBR)

$$6\over1680$$$$\Rightarrow$$$$1\over280$$

The answer is $$1\over280$$

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Jun 3, 2020