Counting Color Pen
Probability
Level
2
There are 30 pens in 5 different colors; 6 pens for each color. If 30 pens are randomly mixed in a bucket, how many pens should one take out to ensure that they have at least 2 pens for each color?
25
24
26
30
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1 solution
The worst case scenario is to pick 4 colors (6 each) which is equal to 4*6=24 pens. Now so that at least 2 of each color is picked, we need to pick 2 pens for the last color (the remaining 6 is only one color) to make it 24+2=26.