SOLUTION: A bag contains 5 red marbles, 10 white marbles, and 6 blue marbles. You draw 5 marbles out at random, without replacement. What is the probability that all the marbles are red?

Algebra ->  Probability-and-statistics -> SOLUTION: A bag contains 5 red marbles, 10 white marbles, and 6 blue marbles. You draw 5 marbles out at random, without replacement. What is the probability that all the marbles are red?       Log On


   

Question 516114: A bag contains 5 red marbles, 10 white marbles, and 6 blue marbles. You draw 5 marbles out at random, without replacement. What is the probability that all the marbles are red?
The probability that all the marbles are red is:
What is the probability that exactly two of the marbles are red?
The probability that exactly two of the marbles are red is:
What is the probability that none of the marbles are red?
The probability of picking no red marbles is
Answer by scott8148(6628) About Me  (Show Source):
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ways to pick 5 out of 21 ___ 21C5

there is one way to select 5 out of 5 (red), so the probability of 5 red is ___ 1 / 21C5

ways to pick 2 out of 5 (red) ___ 5C2
ways to pick 3 out of 16 (non-red) ___ 16C3
___ so the probability of 2 red is ___ [(5C2)(16C3)] / 21C5

ways to pick no red ___ 16C5
___ probability of no red ___ 16C5 / 21C5