59 lines
2.4 KiB
Markdown
59 lines
2.4 KiB
Markdown
---
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title: Probability
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---
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## Probability
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The probability of an event is the chance that an event is going to occur.
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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>
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The total of all probabilities will always sum up to 1.<br>
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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).
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<b>Example 1:</b> <br>
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A coin has 2 sides, (Head and Tail).<br>
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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>
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The total of all outcomes will always be equal to 1, like in this case 1/2 + 1/2 = 1.
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<b>Example 2:</b> <br>
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A dice has 6 sides, (1, 2, 3, 4, 5 and 6).<br>
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When an unbaised dice is rolled, each side has a probability of 1/6 or (0.1667) appearing.<br>
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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).
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<pre>
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<b>Case 1:</b>
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chances of an odd number appearing is 3/6, (1, 3 and 5).
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<b>Case 2:</b>
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chances of number 6 NOT appearing is 5/6, (1 - 1/6).
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</pre>
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<b>Example 3:</b> <br>
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A standard deck of cards has 52 cards, consisting of 4 suits - 2 Red suits (Hearts ♥ and Diamonds ♦) and 2 Black suits (Spades ♠ and Clubs ♣). And each suit has 13 cards with an Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King. <br>
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The probability of each card being withdrawn is 1/52. <br>
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<pre>
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<b>Case 1:</b>
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chances of a Red card being randomly drawn from a standard deck of cards is 26/52, (13 Diamonds + 13 Hearts = 26 total Red).
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<b>Case 2:</b>
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chances of number 5 appearing is 4/52, (one from each Suit).
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<b>Case 3:</b>
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chances of Ace of Spades appearing is 1/52, (only 1 Ace in Spades Suit).
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<b>Case 4:</b>
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chances of a Face card appearing is 12/52, (3 Face cards in each Suit namely Jack, Queen and King)
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<b>Case 5:</b>
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chances of 8 of Hearts NOT appearing is 0.98, (1 - 1/52).
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</pre>
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