Teachoo MCQ Test

10 Question MCQ (including Assertion)

Chapter 14 Class 11 Probability | 10 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 960
Question 1 of 10
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Question 1 of 10
In a lottery game, a player chooses 6 different numbers from 1 to 20. The lottery drawing selects 6 winning numbers at random. What is the probability of matching EXACTLY 5 of the 6 winning numbers?
Select one option. Answers are shown after the test.
Question 2 of 10
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 3 of 10
If \(P(A) = 0.54\), \(P(B) = 0.69\), and \(P(A \cap B) = 0.35\), what is the probability of the event 'neither \(A\) nor \(B\)'?
Select one option. Answers are shown after the test.
Question 4 of 10
Three distinct numbers are chosen simultaneously at random from \(\{1, 2, 3, \dots, 20\}\). What is the probability that their sum is an ODD number?
Select one option. Answers are shown after the test.
Question 5 of 10
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 6 of 10
Assertion (A): A hand of 7 cards is drawn from 52 cards. The probability that it contains 4 Kings is \(\frac{{}^4C_4 \times {}^{48}C_3}{{}^{52}C_7}\).
Reason (R): The 4 Kings can be selected from a deck in exactly \(4!\) different combinations.
Select one option. Answers are shown after the test.
Question 7 of 10
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.
Question 8 of 10
A company group consists of 5 employees: Harish (M, 30), Rohan (M, 33), Sheetal (F, 46), Alis (F, 28), Salim (M, 41). One person is selected at random as spokesperson. What is the probability that the spokesperson is either Male OR over 35 years old?
Select one option. Answers are shown after the test.
Question 9 of 10
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 10 of 10
A player tosses a fair coin 4 times. They win ₹\(1.00\) for each Head and lose ₹\(1.50\) for each Tail. What is the probability that the player suffers a NET LOSS after 4 tosses?
Select one option. Answers are shown after the test.