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Sample size, probability 
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#1
Jul1805, 09:26 PM

P: 1

In a set of 400 hats, each hat is represented by one of six colors (brown, pink, red, orange, blue, yellow). You may assume that each color is represented rather equally in the 400 hats.
What is the minimum amount of samples we must take to be likely to have a sample which has a hat of every color? 


#2
Jul1905, 04:11 PM

Sci Advisor
P: 6,076

"likely" is rather qualitative. If can quantify it, say P>0.9, then an answer can be obtained, although the calculation may be a little messy.



#3
Jul1905, 04:49 PM

Emeritus
Sci Advisor
PF Gold
P: 16,091

neutrino: do you have any thoughts about how you might start this problem?



#4
Jul1905, 08:30 PM

P: 88

Sample size, probability
(hint: what minimum # must be drawn to use up all colors except yellow, then choose 1 more.) 


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