If the probability of an event is p, the probability of its complementary event will be
a. p - 1
b. p
c. 1 - p
d. 1 - 1/p

Solution:

For any event A, there exists another event A‘ which shows the remaining elements of the sample space S.

A’ denotes complementary event of A

A’ = S - A

We know that

Probability of an event + Probability of its complementary event = 1

It can be written as

Probability of its complementary event = 1 - Probability of an event

= 1 - p

Therefore, the probability of its complementary event will be 1 - p.

✦ Try This: What is Complementary event?

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.1 Problem 15

If the probability of an event is p, the probability of its complementary event will be a. p - 1, b. P, c. 1 - p, d. 1 - 1/p

Summary:

If the probability of an event is p, the probability of its complementary event will be 1 - p

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