Question

Nam contains 9 black balls, 7 red balls and 12 blue balls. A monkey draws balls from them random) one at a time. C) how many balls must the monkey draw to gaurantee that atleast one red ball is drawn

Answer 1

Answer:

In this case the Pigeonhole Principle fails because there must a guarantee in drawing at least one red balls.

This means that the monkey has to draw 21 balls to ensure that black and blue balls are all drawn. Of course, since this is a random experiment, drawing each ball is equiprobable, which means that the monkey may pick up 7 red balls and proceeds, but since we want a guarantee, drawing 21 balls is the most optimal choice.

Step-by-step explanation: