Probability of a jury splitting 4-2?

In how many ways can a civil jury of 6 members split 4-2 on a decision?Probability of a jury splitting 4-2?
You just count how many ways to choose the 2 dissenters,


which is 6 choose 2 or 6 * 5 / 2! = 15





If you count a decision for the plaintiff as different from one for the defendant,


then each of those divisions has to be counted twice,


and you're back to 30.





(The total number of ways the jury can decide is 2^6 = 64,


since each juror can vote for either the plaintiff or the defendant,


independently.)

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