# 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 ≤ P(A) ≤ 1

**Solution:**

The measure of likelihood that an event will occur is probability

It is referred as a number that lies between 0 and 1

0 indicates the impossibility and 1 indicates the certainty

Higher the probability of an event, more likely it is for the event to occur

So the probability of an event lies between 0 and 1

Therefore, if P(A) denotes the probability of an event A, then 0 ≤ P(A) ≤ 1.

**✦ Try This: **Can the probability of an event be greater than 1? If yes enter 1 else 0. a. cannot determine, b. 1, c. 0, d. none of these

No, the probability of an event can’t be a negative number

Here the number of outcomes favourable to an event E ≤ number of all possible outcomes

0 ≤ P(E) ≤ 1

Therefore, the probability of an event cannot be greater than 1 so it is option c.

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

**NCERT Exemplar Class 10 Maths Exercise 13.1**** Problem 17**

## 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 ≤ P(A) ≤ 1

**Summary:**

The value of the probability of an event to happen can lie between 0 and 1 because the favorable number of outcomes can never cross the total number of outcomes. If P(A) denotes the probability of an event A, then 0 ≤ P(A) ≤ 1

**☛ Related Questions:**

- A card is selected from a deck of 52 cards. The probability of its being a red face card is a. 3/26, . . . .
- The probability that a non leap year selected at random will contain 53 sundays is a. 1/7, b. 2/7, c . . . .
- When a die is thrown, the probability of getting an odd number less than 3 is a. 1/6, b. 1/3, c. 1/2 . . . .

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