RD Sharma Class 11 Solutions Chapter 33 Probability Exercise 33.2 (Updated for 2021-22)

RD Sharma Solutions Class 11 Maths Chapter 33 Exercise 33.2: We’ll cover an important term related with a random experiment in this section. We’ll also look at how two or more events from a random experiment can be combined to create new events. Experts with extensive knowledge of the concepts presented in the exercise prepare the RD Sharma Class 11 Solutions. Students can use RD Sharma Solutions Class 11 Maths Chapter 33 Exercise 33.2 as the best study material to review concepts prior to the exam, and they can also download the pdfs from the links provided below.

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RD Sharma Solutions Class 11 Maths Chapter 33 Exercise 33.2

Access RD Sharma Solutions Class 11 Maths Chapter 33 Exercise 33.2- Important Question with Answers

1. A coin is tossed. Find the total number of elementary events and also the total number of events associated with the random experiment.

Solution:

Given: A coin is tossed.

When a coin is tossed, there will be two possible outcomes, Head (H) and Tail (T).

Since, the no. of elementary events is 2 {H, T}

We know, if there are n elements in a set, then the number of total element in its subset is 2n.

So, the total number of the experiment is 4,

There are 4 subset of S = {H}, {T}, {H, T} and Փ

∴ There are total 4 events in a given experiment.

2. List all events associated with the random experiment of tossing of two coins. How many of them are elementary events?

Solution:

Given: Two coins are tossed once.

We know, when two coins are tossed then the no. of possible outcomes are 2² = 4

So, the Sample spaces are {HH, HT, TT, TH}

∴ There are total 4 events associated with the given experiment.

3. Three coins are tossed once. Describe the following events associated with this random experiment:
A = Getting three heads, B = Getting two heads and one tail, C = Getting three tails, D = Getting a head on the first coin.
(i) Which pairs of events are mutually exclusive?
(ii) Which events are elementary events?
(iii) Which events are compound events?

Solution:

Given: There are three coins tossed once.

When three coins are tossed, then the sample spaces are:

S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

So, according to the question,

A = {HHH}

B = {HHT, HTH, THH}

C = {TTT}

D = {HHH, HHT, HTH, HTT}

Now, A⋂ B = Փ,

A ⋂ C = Փ,

A ⋂ D = {HHH}

B⋂ C = Փ,

B ⋂ D = {HHT, HTH}

C ⋂ D = Փ

We know that, if the intersection of two sets are null or empty it means both the sets are Mutually Exclusive.

(i) Events A and B, Events A and C, Events B and C and events C and D are mutually exclusive.

(ii) Here, We know, if an event has only one sample point of a sample space, then it is called elementary events.

So, A and C are elementary events.

(iii) If there is an event that has more than one sample point of a sample space, it is called a compound event.

Since, B ⋂ D = {HHT, HTH}

So, B and D are compound events.

Probability Ex 33.2 Q4

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Probability Ex 33.2 Q8

Probability Ex 33.2 Q9

We have provided complete details of RD Sharma Solutions Class 11 Maths Chapter 33 Exercise 33.2. If you have any queries related to CBSE Class 11, feel free to ask us in the comment section below.

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