SOLUTION: suppose there are 3 red balls,4 blue balls, and 5 black balls.whats the minimum number of balls you have to draw to ensure you have at least 1 ball in every color?

Question 942298: suppose there are 3 red balls,4 blue balls, and 5 black balls.whats the minimum number of balls you have to draw to ensure you have at least 1 ball in every color?
Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!

Given:
3 red, 4 blue and 5 black balls.

Find:
minimum number of balls required to make sure (probability 100%) that there will be at least one ball of each colour.

Solution:
The worst case is drawing 5 black balls, followed by 4 blue balls, and we still do not have one of each colour yet. So it takes a 10th ball to make sure (100% probability) that there is at least one ball of each colour.

Answer: It will take at least 10 balls to be sure of getting one of each colour.

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