Teachoo MCQ Test

10 Question MCQ (including Assertion)

Preparing for CBSE

Chapter 7 - The Mathematics of Maybe: Introduction to 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
A player may choose one of two rules:
Rule A: Roll one fair die and win if the result is greater than \(4\).
Rule B: Roll two fair dice and win if their sum is at least \(10\).
Which rule gives the larger probability of winning, and by how much?
Select one option. Answers are shown after the test.
Question 2 of 10
A 4-digit number is formed using 1, 2, 3, 4 without repetition. What is the probability it is greater than 3000?
Select one option. Answers are shown after the test.
Question 3 of 10
Three coins are tossed simultaneously. What is the probability of getting at least two heads?
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Question 4 of 10
Assertion: If a fair coin gives \(8\) heads in \(10\) tosses, this result alone does not prove that the coin is biased.
Reason: Experimental probability may differ noticeably from theoretical probability when the number of trials is small, and it generally tends to move closer to the theoretical probability as the number of trials increases.
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Question 5 of 10
A bag contains \(3\) red, \(2\) blue and \(1\) green ball. Without listing every non-red ball separately, find the probability of drawing a ball that is not red.
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Question 6 of 10
Ten identical cards numbered 1 to 10 are in a box. A card is drawn. What is the probability it is an even number OR a multiple of 3?
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Question 7 of 10
A box contains 5 balls numbered 1 to 5. A ball is drawn, its number recorded, and it is NOT replaced. Then a second ball is drawn. What is the probability that the sum of the two numbers is exactly 6?
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Question 8 of 10
You roll a standard 6-sided die 60 times. Based on theoretical probability, how many times would you expect to roll a prime number?
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Question 9 of 10
A box contains 4 red balls, 3 green balls, and 2 blue balls. Two balls are drawn successively without replacement. What is the probability that the first ball is red and the second is blue?
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Question 10 of 10
Two coins are tossed at the same time. What is the probability of getting exactly one Head?
Select one option. Answers are shown after the test.