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In the game of Risk, the attacker wins a territory if the larger of the two numbers he gets when he rolls two dice is greater than or equal to the number obtained by the defender rolling one die. What is the probability that the attacker will win a territory? i tried taking the sample space. but i dont know how to proceed. can someone pease help me with this

In the game of Risk, the attacker wins a territory if the larger of the two numbers he gets when he rolls two dice is greater than or equal to the number obtained by the defender rolling one die. What is the probability that the attacker will win a territory?
 
i tried taking the sample space. but i dont know how to proceed. can someone pease help me with this 

Grade:12th pass

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

defender – {1,2,3,4,5,6}
attacher – { 1, {1,2,3,4,5,6} }, { 2, {1,2,3,4,5,6} }, { 3, {1,2,3,4,5,6} }, { 4, {1,2,3,4,5,6} }, { 5,{1,2,3,4,5,6} }, { 6, {1,2,3,4,5,6} };

for 1 of defender – 6+6+6+6+6+6 ways;
for 2 of defender – 5+6+6+6+6+6 ways;
for 3 of defender – 4+4+6+6+6+6 ways;
for 4 of defender – 3+3+3+6+6+6 ways;
for 5 of defender – 2+2+2+2+6+6 ways;
for 6 of defender – 1+1+1+1+1+6 ways;

Probability (attacker winning ) = (36+35+32+27+20+11) ./ (36*6)
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