Easy problem in probability

officerwhiskers

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Mar 15, 2015
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So, I have an easy problem in probability, I think my teachers worksheet is wrong...

her question is:

A group of volleyball players consists of four grade-11 students and six grade-12 students. If six players arechosen at random to start a match, what is the probability that three will be from each grade?

The answer she lists is 2/3

But the calculation should be : (4C3)(6C3)/(10C6) right? Where 10C6 gives the total # of groups of 6 chooseable from 10, and (4C3)(6C3) gives the total # of groups consisting of three students from each grade chooseable from 10?
So it should work out to 8/21

Have I done something wrong?
 
I've checked your workings and I got to the same answer as you so im pretty sure it is either a mistake on the paper or your teacher made a mistake :/
 
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