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Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:
Assertion : The probability of winning a game is 0.4, then the probability of losing it, is 0.6
Reason : P(E) + P(not E) = 1
  • a)
    Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
  • b)
    Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
  • c)
    Assertion (A) is true but reason (R) is false.
  • d)
    Assertion (A) is false but reason (R) is true.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Direction: In the Following Questions, A Statement of Assertion (A) I...
Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
We have, P(E) = 0.4,
where E = event of winning
P(Not E) = 1 - P(E) = 1 - 0.4 = 0.6
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Most Upvoted Answer
Direction: In the Following Questions, A Statement of Assertion (A) I...
Assertion: The probability of winning a game is 0.4, then the probability of losing it is 0.6.

Reason: P(E) * P(not E) = 1

Explanation:

Probability of an Event: The probability of an event occurring is a measure of the likelihood of that event happening. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

Assertion Explanation: The assertion states that if the probability of winning a game is 0.4, then the probability of losing it is 0.6. In other words, if the probability of event E (winning the game) is 0.4, then the probability of the complementary event (not winning the game or losing the game) is 0.6.

Reason Explanation: The reason given states that the product of the probability of an event and the probability of its complementary event is equal to 1. This is a fundamental property of probability. If the probability of event E is P(E), then the probability of its complementary event (not E) is P(not E). Multiplying these probabilities together gives P(E) * P(not E), which is equal to 1.

Conclusion: Both the assertion and the reason are true. The reason provides a correct explanation for the assertion. When the probability of winning a game is 0.4, it implies that the probability of losing the game is 0.6. This is consistent with the fundamental property of probability that the product of the probability of an event and the probability of its complementary event is equal to 1.
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Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : The probability of winning a game is 0.4, then the probability of losing it, is 0.6Reason : P(E) + P(not E) = 1a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?
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Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : The probability of winning a game is 0.4, then the probability of losing it, is 0.6Reason : P(E) + P(not E) = 1a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : The probability of winning a game is 0.4, then the probability of losing it, is 0.6Reason : P(E) + P(not E) = 1a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : The probability of winning a game is 0.4, then the probability of losing it, is 0.6Reason : P(E) + P(not E) = 1a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?.
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