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

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