grace has 16 jellybeans in a bag. 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 bag to ensure she has one of each color?
worst case:
pull out 8 reds in a rwo, total 8
pull out 4 blues, total 9
pull out 1 green, total 10
the greens and blues can be reversed, same answer
one
To find the minimum number of jellybeans Grace must take out to ensure she has one of each color, we need to consider the worst-case scenario.
In this case, the worst-case scenario would be if she keeps taking jellybeans of the same color until she has all of them of that color.
So, the minimum number of jellybeans she must take out can be calculated by summing the number of each color of jellybeans until she has one of each color:
Red jellybeans: 8
Green jellybeans: 4
Blue jellybeans: 4
Adding these numbers together, we get:
8 + 4 + 4 = 16
Therefore, Grace must take out a minimum of 16 jellybeans from her bag to ensure she has one jellybean of each color.