Question

What is $P\left( E \right)$ in probability?

Answer 1

Here in this question, we have been asked to define $P\left( E \right)$ in probability. From the basic concepts of probability, we know that the probability of an event $E$ is given by the formula $\dfrac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$ and it is represented as $P\left( E \right)$.

Complete step by step solution:
Now considering the question, we have been asked to define $P\left( E \right)$ in probability.
From the basic concepts of probability, we know that the probability of an event $E$ is given by the formula $\dfrac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$ and it is represented as $P\left( E \right)$.
The probability of any event $P\left( E \right)$ always lies between 0 and 1 only mathematically this can be represented as $0\le P\left( E \right)\le 1$ .
The probability of an impossible event is given as zero mathematically this can be given as $P\left( E \right)=0$ .
The probability of a certain event is given as one mathematically this can be given as $P\left( E \right)=1$ .
Let us consider an example, we have tossed a coin the set of possible outcomes is given as \left\\{ H,T \right\\} .
Then the probability of occurring a head for sure is given as $\dfrac{1}{2}$ .
Therefore we can conclude that the probability is used to evaluate how likely an event is to occur, or how likely it is true.

Note: During answering questions of this type, we should be sure of the concepts that we are going to discuss. This is a very simple and easy question and can be answered in a short span of time. This question is directly based on the concepts. This is a theoretical question.