In his pocket, a boy has 5 red marbles, 6 blue marbles, and 7 green marbles.

In his pocket, a boy has 5 red marbles, 6 blue marbles, and 7 green marbles. How many will he have to take out of his pocket to ensure that he has taken out at least one of each color?

Quiz

Answer/Solution

14

Steps/Work

The worst case scenario would be that he has taken 6 blue and 7 green, a total of 13 marbles, and still doesn't have 3 distinct colors. But the next draw, marble number 14, will surely be red as only the red marbles are left in his pocket.
The answer is D.