Teachoo Quiz

Assertion Reasoning Quiz

Chapter 14 Class 11 Probability | 7 questions | about 6 minutes

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Question 1 of 7
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Question 1 of 7
Assertion (A): The probability of an impossible event is \(0\).
Reason (R): An impossible event corresponds to an empty set \(\phi\), which contains no sample points.
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Question 2 of 7
Assertion (A): The probability of having exactly 53 Sundays in a randomly chosen leap year is \(\frac{2}{7}\).
Reason (R): A leap year contains 366 days, which consists of exactly 52 full weeks and 2 extra consecutive days.
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Question 3 of 7
Assertion (A): The probability of getting a doublet (the same number on both dice) when two dice are thrown is \(\frac{1}{6}\).
Reason (R): The total number of outcomes when two dice are thrown is 36.
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Question 4 of 7
Assertion (A): For any two events \(A\) and \(B\), \(P(A' \cap B') = 1 - P(A \cup B)\).
Reason (R): By set theory, \(A' \cap B' = (A \cap B)'\).
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Question 5 of 7
Assertion (A): If \(P(A) = 0.5\), \(P(B) = 0.3\), and \(P(C) = 0.2\), then \(A, B,\) and \(C\) can form a set of mutually exclusive and exhaustive events.
Reason (R): For any three arbitrary events \(A, B, C\), the probability of their union is always \(P(A \cup B \cup C) = P(A) + P(B) + P(C)\).
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Question 6 of 7
Assertion (A): When rolling a pair of dice, the probability that the sum of the numbers is at least 11 is \(\frac{1}{12}\).
Reason (R): The only outcomes resulting in a sum of at least 11 are (5,6), (6,5), and (6,6).
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Question 7 of 7
Assertion (A): The value \(P(E) = -0.5\) is a valid assignment for the probability of an event \(E\).
Reason (R): The probability of an event \(E\) must satisfy the axiom \(0 \le P(E) \le 1\).
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