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Here's the outcome. The rightmost number is the maximum.
1---2---2
1---3---3
1---4---4
1---5---5
1---6---6
2---3---3
2---4---4
2---5---5
2---6---6
3---4---4
3---5---5
3---6---6
4---5---5
4---6---6
5---6---6
Probability mass function of M (max) is:
m---p(m)
2-------1/15
3-------2/15
4-------3/15
5-------4/15
6-------5/15
cdf
m--------F(m)
2---------1/15
3---------3/15
4---------6/15
5---------10/15
6----------1
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