Probability and its concepts

This set of MCQs is about the chapter of probability, defined as a number that reflects the chance or likelihood that a particular event will occur, and also highlights the concept of probability as a measure of uncertainty of various phenomena.

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If n coins are tossed simultaneously what is the total number of outcomes?

2n-2 2n-1 2n 2n+1

If four dice are rolled simultaneously then what is the total number of possible outcomes?

6 36 216 1296

If two dice are simultaneously rolled then what is probability of getting sum 4?

1/6 1/4 1/12 1/9

If two dice are simultaneously rolled then what is probability of getting sum 11?

1/6 1/4 1/9 1/18

A coin is tossed and a dice is rolled simultaneously what is total number of possible outcomes?

2 6 12 24

Two dice are thrown the events A, B, C are as follows A: Getting an odd number on the first die. B: Getting a total of 7 on the two dice. C: Getting a total of greater than or equal to 8 on the two dice. Then AUB is equal to

15 17 19 21

Two numbers are chosen from {1, 2, 3, 4, 5, 6} one after another without replacement. Find the probability that the smaller of the two is less than 4.

4/5 1/15 1/5 14/15

Three identical dice are rolled. What is the probability that the same number will appear on each of them?

1/6

1/36

1/18

3/28

A bag contains 5 brown and 4 white socks. Ram pulls out two socks. What is the probability that both the socks are of the same color?

9/20

2/9

3/20

4/9

Events A and B are said to be mutually exclusive if:

P (A U B) = P A. + P B.

P (A ∩ B) = P A. × P B.

P(A U B) = 0

None of these

What is the total number of sample spaces when a coin is tossed and a die is thrown?

What is the total number of sample spaces when a die is thrown 2 times?

Three identical dice are rolled. The probability that the same number will appear on each of them is,

1/6

1/36

1/18

3/28

There are four machines and it is known that exactly two of them are faulty. They are tested, one by one, in a random order till both the faulty machines are identified. Then the probability that only two tests are needed is,

1/3

1/6

1/2

1/4

Two unbiased dice are thrown. The probability that neither a doublet nor a total of 10 will appear is,

3/5

2/7

5/7

7/9

Quiz/Test Summary

Title: Probability and its concepts

Questions: 15