Question

3 balls are drawn randomly from a bag containing 3 black,5 red and 4 blue balls what is probability that balls are of different colors??
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Answer 1

Step-by-step explanation:

If you are looking for the chances of drawing 3 different colors…

I’m sure there’s a formula you could use, or you could use brute force method:

chance of black, then red, then blue:

3/12 * 5/11 * 4/10 = 0.045454545

chance of black, then blue, then red:

3/12 * 4/11* 5/10 = 0.045454545

As it turns out, we can calculate

chance of red, then black, then blue

chance of red, then blue, then black

chance of blue, then black, then red

chance of blue, then red, then black

and they are all 0.045454545

So adding together 6 different possibilities at 0.0454545 each gives us:

6 * 0.0454545 = 0.272727

or approximately a 27.3% chance.