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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.
PARAGRAPH 1
Football teams T1 and T2 have to play two games against each other. It is assumed that the outcomes of the two  games are independent. The probabilities of T1 winning, drawing and losing a game against T2 are 1/2, 1/6 and 1/3, 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 T1 and T2, respectively, after two games.
Q.
P(X > Y) is
  • a)
    1/4
  • b)
    5/12
  • c)
    1/2
  • d)
    7/12
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
This section contains TWO paragraphsBased on each paragraph, there are...
P(X > Y) = P(T1 wins both) + P(T1 wins either of the matches and other is draw)
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This section contains TWO paragraphsBased 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.PARAGRAPH 1Football teams T1 and T2 have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of T1 winning, drawing and losing a game against T2 are 1/2, 1/6 and 1/3,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 T1 and T2, respectively, after two games.Q.P(X > Y) isa)1/4b)5/12c)1/2d)7/12Correct answer is option 'B'. Can you explain this answer?
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This section contains TWO paragraphsBased 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.PARAGRAPH 1Football teams T1 and T2 have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of T1 winning, drawing and losing a game against T2 are 1/2, 1/6 and 1/3,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 T1 and T2, respectively, after two games.Q.P(X > Y) isa)1/4b)5/12c)1/2d)7/12Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about This section contains TWO paragraphsBased 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.PARAGRAPH 1Football teams T1 and T2 have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of T1 winning, drawing and losing a game against T2 are 1/2, 1/6 and 1/3,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 T1 and T2, respectively, after two games.Q.P(X > Y) isa)1/4b)5/12c)1/2d)7/12Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for This section contains TWO paragraphsBased 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.PARAGRAPH 1Football teams T1 and T2 have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of T1 winning, drawing and losing a game against T2 are 1/2, 1/6 and 1/3,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 T1 and T2, respectively, after two games.Q.P(X > Y) isa)1/4b)5/12c)1/2d)7/12Correct answer is option 'B'. Can you explain this answer?.
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