Solve, create a comprehensive STEP BY STEP solution and show all work:

In a game of Risk, if an attacker has at least $3$ troops on a country and a defender has at least $2,$ then the attacker will roll $3$ dice and the defender will roll $2$ dice. The attacker's highest roll will be compared to the defender's highest roll, and the loser will lose a troop $($a tie goes to the defender$).$ The attacker's second highest roll will be compared to the defender's second roll, and the loser will lose a troop.

What is the probability the defender wins $2?($The final answer is $29\mathrm{.}3\%).$ If you don't get this as your answer, you've done it wrong.

What is the probability the attacker wins $2?($The final answer is $37\mathrm{.}2\%).$ If you don't get this as your answer, you've done it wrong.

Examples:

Attacker: $1,3,5$

Defender: $3,4$

Both lose one $(5$ beats $4,$ defender's $3$ beats attacker's $3)$