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# 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

**☛ Related Questions:**

- The probability expressed as a percentage of a particular occurrence can never be a. less than 100, . . . .
- If P(A) denotes the probability of an event A, then a. P(A) < 0, b. P(A) > 1, c. 0 ≤ P(A) ≤ 1, d. -1 . . . .
- A card is selected from a deck of 52 cards. The probability of its being a red face card is a. 3/26, . . . .

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