Question 231787: A bag contains 500 beads, each of the same size, but in 5 different colors. Suppose there are 100 beads of each color and I am blindfolded. What is the fewest number of beads I must pick to be absolutely sure there are 5 beads of the same color among the beads I have picked blindfolded?
I think the first one chosen is 1/5.
Found 2 solutions by stanbon, checkley77:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A bag contains 500 beads, each of the same size, but in 5 different colors. Suppose there are 100 beads of each color and I am blindfolded. What is the fewest number of beads I must pick to be absolutely sure there are 5 beads of the same color among the beads I have picked blindfolded?
I think the first one chosen is 1/5.
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Say the five colors are a,b,c,d,e
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You could pick 4 of each of the colors
then the next pick would guarantee you
have 5 of one color.
Ans: 4*5+1 = 21
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Cheers,
Stan H.
Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! Answer is 21.
4 picked for color 1
4 picked for color 2
4 picked for color 3
4 picked for color 4
4 picked for color 5
The next pick will make 5 of one of these colors.
Total=4+4+4+4+4+1=21
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