SOLUTION: 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 mus

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.
-----------------------------------------
Say the five colors are a,b,c,d,e
---
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
======================
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
RELATED QUESTIONS
Joanna has several beads that she wants to assemble into a bracelet. There are seven... (answered by ikleyn)
Hi a box contained 480 beads of 3 colors. When 18 yellow beads were added,33 orange... (answered by math_helper)
Natalie, Rachel and Winnie were given a box of beads. Natalie took 5/9 of the beads and... (answered by ikleyn,Pussy Licker,54929)
A box contains 5 blue beads, 4 yellow beads and 3 purple bead. Three beads are taken... (answered by Edwin McCravy)
season greetings! this is the question: Suppose you are making a bracelet with all... (answered by robertb)
A Bag contains 6 yellow beads and a number of green beads. When a bead is selected at... (answered by josmiceli)
3/5 of the beads in abox are yellow beads. The rest are red beads and blue beads. There... (answered by stanbon)
A necklace can be made using 5 different colors of bead. In how many ways can the beads... (answered by greenestamps,ikleyn)
There are 16 red beads, 24 green beads, and 20 blue beads in a box. What fraction of the... (answered by lynnlo)