Question

write the formula to find probability of an event e​

Answer 1

The formula to find the probability of an event (E) is given as follows:

P(E) = Number of favourable outcomes/total number of outcomes

This can be better using the following example:

• Let's take a dice that has been thrown once. And we have to find the probability of getting an even number.
• Now, we know that the total number of outcomes are 6 (1,2,3,4,5 and 6). And the even numbers are 3(2,4, and 6.)
• So, the probability of getting an even number is 3/6 or 1/2.

Answer 2

The formula to find probability of an event E

$\displaystyle \sf{ = \frac{Number \: of \: favourable \: cases \: to \: the \: event \: E}{Total \: number \: of \: possible \: outcomes }}$

Given :

An event E

To find :

The formula to find probability of the event E

Solution :

Step 1 of 2 :

Define probability of an event

In any random experiment if the total number of elementary ( simple) events in the sample space be n ( a finite number) among which the number of elementary events favourable to an event E , connected with the experiment be m then the probability of the event E is denoted by P (E) and defined as

$\displaystyle \sf{}P(E) = \frac{m}{n}$

Step 2 of 2 :

Write down formula to find probability of the event E

From above we can conclude that

The probability of an event E

$\displaystyle \sf{ = \frac{Number \: of \: favourable \: cases \: to \: the \: event \: E}{Total \: number \: of \: possible \: outcomes }}$

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