Files
freeCodeCamp/guide/english/mathematics/probability/index.md

59 lines
2.4 KiB
Markdown
Raw Normal View History

2018-10-12 15:37:13 -04:00
---
title: Probability
---
## Probability
The probability of an event is the chance that an event is going to occur.
Probabilities generally range from 0 to 1, with 0 indicating that an event will never happen and 1 that an event will happen for certain. <br>
The total of all probabilities will always sum up to 1.<br>
If the probability of a event happening is 0.75, then the probability of an event NOT happening will be 1 - 0.75 = 0.25, (the event not happening is calculated as reverse of this event happening).
<b>Example 1:</b> <br>
A coin has 2 sides, (Head and Tail).<br>
When an unbaised coin is flipped, there are 2 possibilities. The chances of Head appearing is 1/2 and similarly a Tail appearing is 1/2.<br>
The total of all outcomes will always be equal to 1, like in this case 1/2 + 1/2 = 1.
<b>Example 2:</b> <br>
A dice has 6 sides, (1, 2, 3, 4, 5 and 6).<br>
When an unbaised dice is rolled, each side has a probability of 1/6 or (0.1667) appearing.<br>
Similarly in this example too, the total of all outcomes will be 1, (0.1667 + 0.1667 + 0.1667 + 0.1667 + 0.1667 + 0.1667 = 1).
<pre>
<b>Case 1:</b>
chances of an odd number appearing is 3/6, (1, 3 and 5).
<b>Case 2:</b>
chances of number 6 NOT appearing is 5/6, (1 - 1/6).
</pre>
<b>Example 3:</b> <br>
A standard deck of cards has 52 cards, consisting of 4 suits - 2 Red suits (Hearts &#9829; and Diamonds &#9830;) and 2 Black suits (Spades &#9824; and Clubs &#9827;). And each suit has 13 cards with an Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King. <br>
The probability of each card being withdrawn is 1/52. <br>
<pre>
<b>Case 1:</b>
chances of a Red card being randomly drawn from a standard deck of cards is 26/52, (13 Diamonds + 13 Hearts = 26 total Red).
<b>Case 2:</b>
chances of number 5 appearing is 4/52, (one from each Suit).
<b>Case 3:</b>
chances of Ace of Spades appearing is 1/52, (only 1 Ace in Spades Suit).
<b>Case 4:</b>
chances of a Face card appearing is 12/52, (3 Face cards in each Suit namely Jack, Queen and King)
<b>Case 5:</b>
chances of 8 of Hearts NOT appearing is 0.98, (1 - 1/52).
</pre>
2018-10-12 15:37:13 -04:00
<!-- The article goes here, in GitHub-flavored Markdown. Feel free to add YouTube videos, images, and CodePen/JSBin embeds -->
#### More Information:
<!-- Please add any articles you think might be helpful to read before writing the article -->