Teachoo Quiz

10 Question MCQ (including Assertion)

Chapter 14 Class 11 Probability | 10 questions | about 8 minutes

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Question 1 of 10
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Question 1 of 10
When two fair dice are thrown, what is the probability that the product of the numbers obtained on them is an EVEN number?
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Question 2 of 10
A bag contains \(4\) red marbles, \(5\) blue marbles, and \(3\) yellow marbles. If one marble is drawn at random, what is the probability that it is NOT yellow?
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Question 3 of 10
A custom 6-sided die has faces numbered \(\{1, 1, 2, 2, 3, 3\}\). If rolled twice, what is the probability that the SUM of the two rolls is a PRIME number?
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Question 4 of 10
Assertion (A): Two events \(A\) and \(B\) with probabilities \(P(A) = \frac{3}{5}\) and \(P(B) = \frac{4}{5}\) can be mutually exclusive.
Reason (R): For mutually exclusive events, \(P(A \cup B) = P(A) + P(B)\), and probabilities of any event cannot exceed 1.
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Question 5 of 10
A point \(X\) is selected uniformly at random on the real line segment \([0, 10]\). What is the probability that \(X(10 - X) \ge 16\)?
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Question 6 of 10
Four-digit numbers strictly greater than \(5000\) are randomly formed using the digits \(\{0, 1, 3, 5, 7\}\) without repeating any digit. What is the probability that a number formed in this manner is divisible by \(5\)?
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Question 7 of 10
Three fair six-sided dice are rolled simultaneously. What is the probability that all three dice show DISTINCT (different) numbers?
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Question 8 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 \(B\)'?
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Question 9 of 10
Assertion (A): The probability of getting a total sum of 10 when throwing two fair dice is \(\frac{1}{9}\).
Reason (R): The favourable outcomes for a sum of 10 are (4,6), (5,5), and (6,4), yielding a probability of \(\frac{3}{36} = \frac{1}{12}\).
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Question 10 of 10
A card is drawn at random from a standard deck of \(52\) playing cards. What is the probability that the card drawn is either a King OR a Heart?
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