Question

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 point. 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
II	Probability of (X 2 > Y 2) is
III	Probability of (X 3 = Y 3) is
IV	Probability of (X 3 > Y 3) is
	T

The correct option is:

• A. (I) → (Q); (II) → (R); (III) → (T); (IV) → (S)
• B. (I) → (Q); (II) → (R); (III) → (T); (IV) → (T)
• C. (I) → (P); (II) → (R); (III) → (Q); (IV) → (S)
• D. (I) → (P); (II) → (R); (III) → (Q); (IV) → (T)

Answer 1

Answer: (A)

(I) → (Q); (II) → (R); (III) → (T); (IV) → (S)

Answer 2

The correct answer option is (A) : (I) → (Q); (II) → (R); (III) → (T); (IV) → (S)