Published by:
CGP EDU Academic Team
Published on: August 12, 2026
SECTION 3 (Maximum Marks: 12)
• This section contains TWO paragraphs.
• Based on each paragraph, there are TWO questions.
• Each question has FOUR options
A
, 
B
, 
C
and 
D
. ONLY ONE of these four options is correct. • For each question, marks will be awarded in one of the following categories: Full Marks : +3 If only the bubble corresponding to the correct option is darkened. Zero Marks: 0 In all other cases. PARAGRAPH 1 Football teams T 1 and T 2 have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of T 1 winning, drawing and losing a game against T 2 are 
and 
, respectively. Each team gets 3 points for a win, 1 point for a draw and 0 point for a loss in a game. Let X and Y denote the total points scored by teams T 1 and T 2 , respectively, after two games. (i). P(X>Y)is 
(ii). P (X = Y) is 
and , respectively. Each team gets 3 points for a win, 1 point for a draw and 0 point for a loss in a game. Let X and Y denote the total points scored by teams T 1 and T 2 , respectively, after two games. (i). P(X>Y)is (ii). P (X = Y) is
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i)
P(X > Y) = P(T 1 wins both) + P(T 1 wins either of the matches and other is draw)
(ii)
P(X = Y) = P(T 1 and T 2 win alternately) + P(Both matches are draws)
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