Class 9 Exam > Class 9 Tests > Test: Probability- Assertion & Reason Type Questions - Class 9 MCQ
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Test: Probability- Assertion & Reason Type Questions - Question 1

Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct

answer as

**Assertion :** Two well balanced dice are rolled and the numbers that turn up are observed. Then the number of elements in sample space is 12.

**Reason : **When two dice are rolled, number of elements in sample space is 6 x 6.

Detailed Solution for Test: Probability- Assertion & Reason Type Questions - Question 1

Test: Probability- Assertion & Reason Type Questions - Question 2

Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct

answer as

**Assertion : **Two coins are tossed. Number of elements in the sample space is 4.

**Reason : **When a coin is tossed n times then the number of elements in its sample space is 2^{n}.

Detailed Solution for Test: Probability- Assertion & Reason Type Questions - Question 2

Test: Probability- Assertion & Reason Type Questions - Question 3

Direction: In the following questions, a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements, mark the correct

answer as

**Assertion : **A fair die is rolled. Then the probability of getting an even number is 1/2 and probability of getting an odd number is 1/2.

**Reason : **Possible outcomes when a fair die is rolled is (1, 2, 3, 4, 5, 6).

Detailed Solution for Test: Probability- Assertion & Reason Type Questions - Question 3

Test: Probability- Assertion & Reason Type Questions - Question 4

answer as

**Assertion : **If E_{1}, E_{2} , .........., E_{n} are n elementary events associated to a random experiment, then P(E_{1}) + P(E_{2}) PE +.....+ P(E_{n}) = 1

**Reason : **For any event ‘A’ associated to an experiment, we have -1 ≤ P(A) ≤ 1

Detailed Solution for Test: Probability- Assertion & Reason Type Questions - Question 4

Test: Probability- Assertion & Reason Type Questions - Question 5

answer as

**Assertion : **In a class there are x boys. and y girls, A student is selected at random, then the probability of selecting a girl is y/x.

**Reason : **Probability of an event E of an experiment is ratio of the number of trials in which event E has happened to the total number of trials.

Detailed Solution for Test: Probability- Assertion & Reason Type Questions - Question 5

Test: Probability- Assertion & Reason Type Questions - Question 6

answer as

**Assertion : **A die is thrown. Let E be the event that number appears on the upper face is less than 1, then P(E) = 1/6

**Reason : **Probability of impossible event is 0.

Detailed Solution for Test: Probability- Assertion & Reason Type Questions - Question 6

Test: Probability- Assertion & Reason Type Questions - Question 7

answer as

**Assertion : **Tossing a coin 50 times is called an event.

**Reason : **The possible outcomes of an experiment are called events.

Detailed Solution for Test: Probability- Assertion & Reason Type Questions - Question 7

Test: Probability- Assertion & Reason Type Questions - Question 8

answer as

**Assertion : **A coin is tossed two times. Probability of getting at least two heads is 1/4.

**Reason : **When a coin is tossed two times, then the sample space is {HH, HT, TH, TT}

Detailed Solution for Test: Probability- Assertion & Reason Type Questions - Question 8

Test: Probability- Assertion & Reason Type Questions - Question 9

A die is rolled if the number on a die is even then a coin is tossed once and if the number on a die is odd, then a coin is tossed twice. Match the events in Column-I with their probabilities in Column-II

Detailed Solution for Test: Probability- Assertion & Reason Type Questions - Question 9

Test: Probability- Assertion & Reason Type Questions - Question 10

A NGO selected 2000 families at random and surveyed them to determine number of children in a family. The data is given below:

If one family is chosen at random then, match the Column-I with their corresponding probabilities in Column-II.

Detailed Solution for Test: Probability- Assertion & Reason Type Questions - Question 10

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