Question

If P(E) = 0.05. What is the probability of ‘not E’?

Answer 1

Hint: We know that maximum probability could be 1. To find the probability of ‘not E’ you just need to find the difference between the maximum probability and the probability of the event occurred.In this way we can find the value of probability of ‘not E’.

Complete step-by-step answer:
Given, P(E) = 0.05
The sum of the probability for an event to occur and the probability for the same event not to occur is equal to 1.
We know that P(E) + P (not E) = 1
$\Rightarrow$0.05 + P (not E) = 1
$\therefore$ P (not E) = 1 – 0.05 = 0.95

Thus, the probability of ‘not E’ is 0.95.

Note: Probability means possibility. The value is expressed from 0 to 1. Zero indicates impossible events and 1 indicates certain events. The higher the probability of an event, the more likely it is that the event will occur. The probability of all the events in a sample space adds up to 1. Probability is a measure of an event to occur. It deals with the occurrence of a random event. Probability has been introduced in math to predict how likely events are to occur. But events cannot be predicted with total certainty. We can only predict the chance of an event to occur.The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.