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7. (6 points). One of my favorite board games allows players to use 3 dice to attack or 2 dice to defend. To determine who

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7. (6 points). One of my favorite board games allows players to use 3 dice to attack or 2 dice to defend. To determine who wins you need to compare the highest-valued die of the attacker to the highest of the defender. Whichever die is lowest loses a solider. In case of a tie, the attacker loses a solider. Similarly, the second highest die of the attacker is compared with the defender's second highest die. Whichever is lowest loses one soldier. Note that the lowest die of the attacker (the third die) is not used. For example, if the attacker rolls {3,5,2} and the defender gets {5,2} then each loses one soldier (5 vs 5 attacker loses, 3 vs 2 defender loses). Using Excel, create a Monte Carlo simulation to empirically estimate the probability that in an attack: a. the attacker loses both soldiers b. the attacker loses one and wins one c. The defender loses both 2/2 7. (6 points). One of my favorite board games allows players to use 3 dice to attack or 2 dice to defend. To determine who wins you need to compare the highest-valued die of the attacker to the highest of the defender. Whichever die is lowest loses a solider. In case of a tie, the attacker loses a solider. Similarly, the second highest die of the attacker is compared with the defender's second highest die. Whichever is lowest loses one soldier. Note that the lowest die of the attacker (the third die) is not used. For example, if the attacker rolls {3,5,2} and the defender gets {5,2} then each loses one soldier (5 vs 5 attacker loses, 3 vs 2 defender loses). Using Excel, create a Monte Carlo simulation to empirically estimate the probability that in an attack: a. the attacker loses both soldiers b. the attacker loses one and wins one c. The defender loses both 2/2

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