Question 12
Two players face off in a dice combat game. The striker will launch three dice and the defender, two. The attacker will defeat the defender in only one dice if, and only if the following two conditions are satisfied: i) the attacker's highest die is greater than the defender's highest die. ii) the second highest data of the attacker is greater than the second largest die for the defender (we agree that the "second largest data" can be equal to the highest data, if two or more data tie at the highest value). Considering that all the data is honest with the equiprobable results, calculate the probability that the attacker will win with the defender getting in his data:
a) 2 Cinco;
b) 1 Five and 1 four.
a) 2 Cinco;
b) 1 Five and 1 four.