Hey Developer’s, I’m back with a new topic which is Introduction To Probability and Examples in the series of statistics foundations.

### Quick Refresher

If events do not influence one another, they are called independent.

If subsequent events influence one another, they are dependent

So, let’s get started …

### Introduction To Probability

Probability : It is how likely an event to occur

Probability of an event is a number that is :

• A value between 0 and 1 inclusive
• Value of 0 corresponds to “unlikely” or “almost never”
• Value of 1 corresponds to “almost” or “surely”

Typically recorded as P(event) = value

Sometimes also expressed as percentage (0% to 100% respectively)

• There’s 50% chance that -> P = 0.5 = 1/2
• I am 90% certain that -> P = 0.9 = 9/10

### Probability Examples

Consider a coin flip S = {E(H),E(T)}

P(S) = 1 by definition

P(E(H)) = P(E(T)) as both events are equally likely

Solving : P(E(H))+P(E(T)) = 1 , P(E(H))-P(E(T)) = 0 gives us

P(E(H)) = P(E(T)) = 1/2

P(head and tail) = 0, because coin cannot land on both head and tail at the same time

P(head or tail) = P(S) = 1, because coin will definitely land on head or tail.

#### Next Post will be on Rules Of Probability

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