Teachoo MCQ Test

Assertion Reasoning Quiz

Chapter 14 Class 11 Probability | 7 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 672
Question 1 of 7
Advertisement
Question 1 of 7
Assertion (A): For any events \(A\) and \(B\), \(P(A \cap B) \le P(A)\).
Reason (R): The intersection of two sets \(A \cap B\) is always a subset of \(A\) (\(A \cap B \subseteq A\)).
Select one option. Answers are shown after the test.
Question 2 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).
Select one option. Answers are shown after the test.
Question 3 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.
Select one option. Answers are shown after the test.
Question 4 of 7
Assertion (A): If \(A\) and \(B\) are mutually exclusive events, then \(P(A \cap B) = 0\).
Reason (R): Mutually exclusive events cannot occur simultaneously, meaning their intersection is an empty set (\(A \cap B = \phi\)).
Select one option. Answers are shown after the test.
Question 5 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 \(0 \le P(E) \le 1\).
Select one option. Answers are shown after the test.
Question 6 of 7
Assertion (A): When 3 coins are tossed simultaneously, the probability of getting all heads is \(\frac{1}{8}\).
Reason (R): The sample space for tossing 3 coins contains 8 equally likely outcomes.
Select one option. Answers are shown after the test.
Question 7 of 7
Assertion (A): When a fair coin is tossed 3 times, the number of elements in the sample space is \(6\).
Reason (R): The total number of possible outcomes when a coin is tossed \(n\) times is \(2^n\).
Select one option. Answers are shown after the test.