Joint, Marginal, and Conditional

作者: 宣雄民 | 来源:发表于2021-08-13 21:44 被阅读0次

Joint, Marginal, and Conditional Probabilities

It occurs whenever event A and event B both occur

The probability that the intersection of two events occurs

The probability that an individual event from one experiment occurs, regardless of the outcomes from another experiment

When one event occurs, it may impact the probability of an event from a different experiment

The probability that a second event(B) will occur given that we know that the first event(A) has already occurred

A and B come from two different experiments
$P(B|A) \rightarrow$ vertical bar "|" means "given"
Formula
$P(B|A) = \frac{P(A\cap B)}{P(A)}$
B $\rightarrow$ Event we want the probability for
A $\rightarrow$ Event that has already occurred
- Find the joint probability of A and B
- Find the marginal probability of the event that has already occurred(Event A)
- Divide te joint probability by the marginal probability

Main take away

Joint probability indicates the intersection portion, which both event A and event B occur at the same
Marginal probability represents the probability of one event reguardless the outcomes from other events
Conditional probability yields the probability of event B with reguard the event A has already happened.

本文标题：Joint, Marginal, and Conditional

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