# Probability

Probability is about how Likely something is to occur, or how likely something is true.

The mathematic probability is a Number between 0 and 1.

0 indicates Impossibility and 1 indicates Certainty.

## The Probability of an Event

The probability of an event is:

The number of ways the event can happen / The number of possible outcomes.

Probability = # of Ways / Outcomes

## Tossing Coins

When tossing a coin, there are two possible outcomes:

## P(A) – The Probability

The probability of an event A is often written as P(A).

When tossing two coins, there are 4 possible outcomes:

## Throwing Dices

When throwing a dice, there are 6 possible outcomes:

When throwing 3 dice, there are 18 possible outcomes:

## 6 Balls

I have 6 balls in a bag: 3 reds, 2 are green, and 1 is blue.

Blindfolded. What is the probability that I pick a green one?

Number of Ways it can happen are 2 (there are 2 greens).

Number of Outcomes are 6 (there are 6 balls).

Probability = Ways / Outcomes

The probability that I pick a green one is 2 out of 6: 2/6 = 0.333333.

The probability is written P(green) = 0.333333.

For the 6 balls:

## Choosing a King

The probability of choosing a king in a deck of cards is 4 in 52.

Number of Ways it can happen are 4 (there are 4 kings).

Number of Outcomes are 52 (there are 52 cards).

Probability = Ways / Outcomes

The probability is 4 out of 52: 4/52 = 0.076923.

The probability is written P(king) = 0.076923.