A bowl contains 53 red balls 48 blue balls and 72 green ball

A bowl contains 53 red balls, 48 blue balls, and 72 green balls. A woman selects balls at random without looking at them. We assume that the woman does not replace the balls after drawing them. What is the least number of balls she must select to be sure of having at least 16 balls of the same color? Explain.

Solution

LOGIC !!

The woman may draw: 15 red balls, 15 blue balls, 15 green balls.
THEN, the next draw MUST SATISFY THE CONDITION OF HAVING AT LEAST 16 balls of the same (one) color !!

the answer is: 46