From 4538bf0262dd89c2d7c9e5b21dcdbf2d88c9d035 Mon Sep 17 00:00:00 2001 From: zleyyij Date: Mon, 8 Jan 2024 14:32:45 -0700 Subject: [PATCH] vault backup: 2024-01-08 14:32:45 --- education/statistics/Probability.md | 15 +++++++++++++-- 1 file changed, 13 insertions(+), 2 deletions(-) diff --git a/education/statistics/Probability.md b/education/statistics/Probability.md index b8290dd..32ff7ed 100644 --- a/education/statistics/Probability.md +++ b/education/statistics/Probability.md @@ -20,14 +20,25 @@ $p(h)$ is the mathematical shorthand for something happening, in this case $p(h) ## Independent Events If the chance of a second event does not change depending on the outcome of the first event, an event is considered independent. An example of this might be drawing from a deck of cards, then replacing the card. -To find the probability of two independent events taking place, you can multiply the probability of those events together. - This is also known as unconditional chance. + +To find the probability of two independent events taking place, you can multiply the probability of those events together. +``` +p(a) * p(b) = p(both a and b taking place) +``` + +To find the probability of one event or another event taking place, you can add the probability of those two events together +``` +p(a) + p(b) = p(a or b taking place) +``` + ## Dependent Events If an event is influenced by other events, it is considered dependent. An example of this might be drawing from a deck of cards, not replacing, then drawing again. This is also known as conditional chance. +### Mutually Exclusive Events +Mutually exclusive events are events that cannot both occur within a given set of measurements. An example of this might be flipping a coin and getting both heads and tails on the same toss. You can only add the chance of two events together if the events are mutually exc | Phrase | Definition | | ---- | ---- |