SOLUTION: there are 59 marbles in a jar. 21 are orange,15 are purple, and 23 are green.what is the least number of marbles that a blind-folded person must take from the jar to guarantee that

Algebra ->  Probability-and-statistics -> SOLUTION: there are 59 marbles in a jar. 21 are orange,15 are purple, and 23 are green.what is the least number of marbles that a blind-folded person must take from the jar to guarantee that      Log On


   



Question 238456: there are 59 marbles in a jar. 21 are orange,15 are purple, and 23 are green.what is the least number of marbles that a blind-folded person must take from the jar to guarantee that be gets at least 2 marbles of each color
a) 40 b) 6 c) 38 d) 2 e) 46

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
In order to guarantee this result we have to look for the worst case scenario. This would be when all the orange and green marbles (the two largest groups) are picked before the second purple marble. So the answer is:
#orange + #green + 2
or
21 + 23 + 2 which is 46.