What color of marble do you want?
Probability
Level
pending
A box contains 8 green marbles and 5 blue marbles. In how many ways we can draw groups of 5 marbles containing at least 2 green marbles?
The answer is 1246.
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1 solution
The five marbles can be exactly 2 green marbles and 3 blue marbles or exactly 3 green marbles and 2 blue marbles or exactly 4 green marbles and 1 blue marble or exactly 5 green marbles
2 green and 3 blue marbles = (8C2)(5C3) = 280
3 green and 2 blue marbles = (8C3)(5C2) = 560
4 green and 1 blue marble = (8C4)(5C1) = 350
5 green marbles = 8C5 = 56
Total Number of ways = 1246 ways