There are 6 identical red balls, 6 identical white balls and 6 identical black balls distributed randomly into two different boxes \(B_1\) and \(B_2\). Find the probability that:

- Both boxes have the same number of balls.
- Both boxes have at least one ball of each color.

Provide a full solution (without any use of intuition).

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewestInstead of asking for a full solution, why don't you show us where you're stuck on and what you've tried?

Log in to reply

If we write down the sample space, all outcomes are not equally likely. I am not sure what to do in such cases.

Log in to reply

Hint:

Q1: 9 balls goes B1, 9 balls goes B2. Binomial distribution

Q2: Find the complementary probability.

Log in to reply

@Chew-Seong Cheong Sir, please help if you can :)

Log in to reply