Question

Two players, P₁ and P₂, 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 P₁ and P₂, respectively. If x > y, then P₁ scores 5 points and P₂ scores 0 point. If x = y, then each player scores 2 points. If x < y, then P₁ scores 0 point and P₂ scores 5 points. Let X_i and Y_i be the total scores of P₁ and P₂, respectively, after playing the i^th round.
 

List-I		List-II
I	Probability of (X2 ≥ Y2) is	P	\(\frac{3}{8}\)
II	Probability of (X2 > Y2) is	Q	\(\frac{11}{16}\)
III	Probability of (X3 = Y3) is	R	\(\frac{5}{16}\)
IV	Probability of (X3 > Y3) is	S	\(\frac{355}{864}\)
		T	\(\frac{77}{432}\)

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

The Correct Option is A

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