Question

What is probability?

Answer 1

Probability is the value that ranges between 0 and 1.
In real life experiments and other experiments where the number of events is sufficiently large.
we cannot perform the experiment and calculate its probablity.
so we do this p[event]= n[e]/ n[s]

n[e]= number of favourable events
n[s] = total size of sample space

eg tossing a coin

s= [ head ] or [tail]

suppose you want to find the probablity of getting head

n[event of getting head]= 1 [ only one head in s]
n[s]= 2 [ head or tail can come]

p[head]= 1/2



so your chace of getting head = 1/2

ie 1 out of 2 chances.


this can be interpreted as 50% chance of getting head [ 100 x 1 / 2 = 50]

Answer 2

$\huge{\mathcal{Hi\: there!}}$

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Some experiments related to PROBABILITY :

$\underline{ \large { \bold{Experiment:}}}$

An operation which can produce some well-defined outcomes, is called an experiment.

Each outcome is called an event.

$\underline{ \large { \bold{Random\:Experiment:}}}$

An experiment in which all possible outcomes are known and the exact outcome cannot be predicted in advance, is called a random experiment.

$\underline{ \large { \bold{Empirical \: Probability :}}}$

Suppose we perform an experiment and let $n$ be the total number of trials. The empirical probability of happening of an event E is defined as

$\mathsf{p(e) = \frac{no \: of \: trials \: in \: which \: event \: happened}{total \: number \: of \: trials}}$

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Thanks for the question !

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