Basic relationships in probability - Revision history

Dirkjan at 19:53, 27 August 2020

2020-08-27T19:53:42Z

Dirkjan: Replaced content with "Basic relationships in probability Category:mbi"

2020-08-27T19:18:11Z

Replaced content with "Basic relationships in probability Category:mbi"

Dirkjan: Created page with "* Mutually exclusive events * Non-mutually exclusive events * Independent events * Dep..."

2020-08-25T07:57:26Z

Created page with "* Mutually exclusive events * Non-mutually exclusive events * Independent events * Dep..."

New page

* [[Mutually exclusive events|Mutually exclusive events]]
* [[Non-mutually exclusive events|Non-mutually exclusive events]]
* [[Independent events|Independent events]]
* [[Dependent events|Dependent events]]

If events A and B are ''mutually exclusive'' then:
{{{
P(A or B) = P(A) + P(B)
}}}

If events A and B are ''non mutually exclusive'' then:
{{{
P(A or B) = P(A) + P(B) - P(A and B)
}}}

If events A and B are ''independent'' then:
{{{
P(A and B) = P(A) X P(B)
}}}

If events A and B are ''dependent'' then:
{{{
P(A and B) = P(A) X P(B | A)
}}}

Where P(B | A) is the probability that B occurs given that A already happened.

Part of [[M7-Quantitative Decision Methods-S2 - Probability and decision trees|M7-Quantitative Decision Methods-S2 - Probability and decision trees]]
[[Category:mbi]]

← Older revision		Revision as of 19:18, 27 August 2020
Line 1:		Line 1:
−	* [[Mutually exclusive events\|Mutually exclusive events]]	+	Basic relationships in probability
−	* [[Non-mutually exclusive events\|Non-mutually exclusive events]]
−	* [[Independent events\|Independent events]]
−	* [[Dependent events\|Dependent events]]
−
−	~~If events A and B are ''mutually exclusive'' then:~~
−	~~{{{~~
−	~~P(A or B) = P(A) + P(B)~~
−	~~}}}~~
−
−	~~If events A and B are ''non mutually exclusive'' then:~~
−	~~{{{~~
−	~~P(A or B) = P(A) + P(B) - P(A and B)~~
−	~~}}}~~
−
−	~~If events A and B are ''independent'' then:~~
−	~~{{{~~
−	~~P(A and B) = P(A) X P(B)~~
−	~~}}}~~
−
−	~~If events A and B are ''dependent'' then:~~
−	~~{{{~~
−	~~P(A and B) = P(A) X P(B \| A)~~
−	~~}}}~~
−
−	~~Where P(B \| A) is the~~ probability ~~that B occurs given that A already happened.~~
−
−	~~Part of [[M7-Quantitative Decision Methods-S2 - Probability and decision trees\|M7-Quantitative Decision Methods-S2 - Probability and decision trees]]~~
	[[Category:mbi]]		[[Category:mbi]]

← Older revision		Revision as of 19:53, 27 August 2020
Line 1:		Line 1:
−	~~Basic relationships in~~ probability	+	* [[Mutually exclusive events\|Mutually exclusive events]]
		+	* [[Non-mutually exclusive events\|Non-mutually exclusive events]]
		+	* [[Independent events\|Independent events]]
		+	* [[Dependent events\|Dependent events]]
		+
		+	If events A and B are ''mutually exclusive'' then:
		+	{{{
		+	P(A or B) = P(A) + P(B)
		+	}}}
		+
		+	If events A and B are ''non mutually exclusive'' then:
		+	{{{
		+	P(A or B) = P(A) + P(B) - P(A and B)
		+	}}}
		+
		+	If events A and B are ''independent'' then:
		+	{{{
		+	P(A and B) = P(A) X P(B)
		+	}}}
		+
		+	If events A and B are ''dependent'' then:
		+	{{{
		+	P(A and B) = P(A) X P(B \| A)
		+	}}}
		+
		+	Where P(B \| A) is the probability that B occurs given that A already happened.
		+
		+	Part of [[M7-Quantitative Decision Methods-S2 - Probability and decision trees\|M7-Quantitative Decision Methods-S2 - Probability and decision trees]]
	[[Category:mbi]]		[[Category:mbi]]