NCERT Class X Chapter 14: Probability Exercise 14.1 Question (1)

NCERT Class X Chapter 14: Probability Exercise 14.1 Question 1

Question:

Complete the following statements:

(i) Probability of an event E + Probability of the event ‘not E’ = ____________

(ii) The probability of an event that cannot happen is ___________. Such an event is called ___________.

(iii) The probability of an event that is certain to happen is ____________. Such an event is called ___________.

(iv) The sum of the probabilities of all the elementary events of an experiment is ____________.

(v) The probability of an event is greater than or equal to ____________ and less than or equal to _____________

Given:

Statements related to probability.

To Find:

Complete the given statements.

Formula:

Basic probability axioms.

Solution:

(i) Probability of an event E + Probability of the event ‘not E’ = 1

(ii) The probability of an event that cannot happen is 0. 

Such an event is called an impossible event.

(iii) The probability of an event that is certain to happen is 1. 

Such an event is called a sure event or certain event.

(iv) The sum of the probabilities of all the elementary events of an experiment is 1.

(v) The probability of an event is greater than or equal to 0 and less than or equal to 1.

Result:

(i) 1
(ii) 0, impossible event
(iii) 1, sure event or certain event
(iv) 1
(v) 0, 1

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