Mathematics, 07.02.2021 19:50 melaniem50
I have 3 red markers, 3 blue markers, and 3 green markers. I take the caps off and put on the caps randomly. Find the expected number of markers that have the same color cap and marker.
Answers: 3
chance to get the same color cap, because there are always 3 same caps, and 9 total caps. By linearity of expectation, the expected number of markers that have the same color cap and marker is equal to the sum of all marker's individual 'contribution' to the same color cap count. So the expected value is 
, precisely what we were after.
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I have 3 red markers, 3 blue markers, and 3 green markers. I take the caps off and put on the caps r...
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