seanieg89
Well-Known Member
- Joined
- Aug 8, 2006
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- HSC
- 2007
Re: HSC 2013 4U Marathon
Harder 3U (Combinatorics):
In the board game Risk, if there are at least three attacking units and at least two defending units, then the attacker rolls three dice and the defender rolls two dice. The top two dice of the attacker are paired up with the two dice of the defender, and ties are awarded to the defender.
Eg if the attacker rolls 3,5,4 and the defender rolls 4,4 then each side loses one unit (as the attackers 5 beats the defenders 4 and the attackers 4 loses to the defenders other 4.)
Find the probability of:
i) Attacker loses two units.
ii) Both sides lose one unit.
iii) Defender loses two units.
Harder 3U (Combinatorics):
In the board game Risk, if there are at least three attacking units and at least two defending units, then the attacker rolls three dice and the defender rolls two dice. The top two dice of the attacker are paired up with the two dice of the defender, and ties are awarded to the defender.
Eg if the attacker rolls 3,5,4 and the defender rolls 4,4 then each side loses one unit (as the attackers 5 beats the defenders 4 and the attackers 4 loses to the defenders other 4.)
Find the probability of:
i) Attacker loses two units.
ii) Both sides lose one unit.
iii) Defender loses two units.