CBSEJEEClass 10

Which of the following cannot be the probability of an event?

Answer

Any value less than 0 or greater than 1 (such as −1.5, 7/5 or a percentage above 100%) cannot be the probability of an event, because probability must lie between 0 and 1.

The working

The rule

For any event E, the probability satisfies 0 ≤ P(E) ≤ 1. No probability can be negative or exceed 1.

Check the range

Convert each option to a decimal and see whether it lies within 0 to 1. Values like −0.7 or 1.001 are outside the range.

Common invalid forms

A fraction greater than 1 (like 7/5 = 1.4), a percentage above 100%, or any negative number cannot be a probability.

Example

Among 0.7, 3/7, −1.5 and 0.96, only −1.5 cannot be a probability because it is negative.

Searched about 5,000 times a month in IndiaSolve a similar doubt →

Stuck on something else?

Type your own doubt into the solver and get the full working in seconds — free, for physics, chemistry, maths and biology.

Open the solver

Related doubts