Two players, P 1 and P 2 , play a game against each other. In every round of the game, each player rolls a fair die once, where the six faces of the die have six distinct numbers. Let x and y denote the readings on the die rolled by P 1 and P 2 , respectively. If x > y, then P 1 scores 5 points and P 2 scores 0 points. If x=y, then each player scores 2 points. If x<y, then P 1 scores 0 point and P 2 scores 5 points. Let X i and Y i be the total scores of P 1 and P 2 , respectively, after playing the i th round.
List-I List-II
(I) Probability of (X 2 > Y 2 ) is (P) 
(II) Probability of (X 2 > Y 2 ) is (Q) 
(III) Probability of (X 3 =Y 3 ) is (R) 
(IV) Probability of (X 3 > Y 3 ) is (S) 
(T) 
The correct option is:
(Q); (II) 
(R); (III) 
(T); (IV) 
(S)
(Q; (II) 
(R); (III) 
(T); (IV) 
(T)
(P); (II) 
(R); (III) 
(Q); (IV) 
(S)
(P); (II) 
(R); (III) 
(Q); (IV) 
(T)
Text Solution
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