SOLUTION: grace has 16 jellybeans in her pocket. she has 8 red ones, 4 green ones, and 4 blue ones. what is the minimum number of jellybeans she must take out of her pocket to ensure that sh

Algebra ->  Probability-and-statistics -> SOLUTION: grace has 16 jellybeans in her pocket. she has 8 red ones, 4 green ones, and 4 blue ones. what is the minimum number of jellybeans she must take out of her pocket to ensure that sh      Log On


   

Question 173316: grace has 16 jellybeans in her pocket. she has 8 red ones, 4 green ones, and 4 blue ones. what is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color.
Found 2 solutions by checkley77, scott8148:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
The first 8 could all be red
The next 4 could be all green
She then has to pick one more for a blue bean.
8+4+1=13 beans must be selected to ensure she has at least one of each color.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let's look at the "best case" __ she draws three jellybeans, one of each color

but; to ENSURE one of each color (even if she was blindfolded), we have to look at the "worst case"
__ she draws 8 of one color, 4 of another color, and finally; one of the third color

she has to draw 13 to ENSURE one of each color