You are playing a game with a group of 10 friends (including yourself) in which you roll some 8-sided dice. Each person

[answerhappygod]

You are playing a game with a group of 10 friends (including
yourself) in which you roll some 8-sided dice. Each person rolls
two 8-sided dice, and you and another person in the group roll a 3
followed by a 7. The other person remarks, “What are the odds of
THAT?!” You will answer this question in a few different ways.
(a) What is the probability that you both roll a 3
followed by a 7?
(b) What is the probability that you both have identical
rolls?
(c) What is the probability that the two you
do not have identical rolls?
(d) Now consider a group of three players. If you and the
other person do not have identical dice rolls, what is the
probability that the third player does not have identical dice
rolls as you or the second player?
(e) What is the probability that in a group of three
players, no two people have identical dice rolls?
(f) What is the probability that in a group of four
players, no two people have identical dice rolls?
(g) What is the probability that in a group of 10 players,
no two people have identical dice rolls?
(h) What is the probability that in a group of 10 players,
there are two players that have the same, identical dice
rolls.