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Statistics Maths

Conditional Probability

TK
by Toby K.

Independence

Events don’t affect each other

𝑃(𝐴|𝐡)



𝑃(𝐴 βˆͺ 𝐡)

𝑃(𝐴) + 𝑃(𝐡) βˆ’ 𝑃(𝐴 ∩ 𝐡)

If Independent

𝑃(𝐴 ∩ 𝐡)


𝑃(𝐴) x 𝑃(𝐡)

If independent

𝑃(𝐴|𝐡)

𝑃(𝐴)

If Mutually Exclusive

𝑃(𝐴 ∩ 𝐡)

0

If Mutually Exclusive

𝑃(𝐴 βˆͺ 𝐡)

𝑃(𝐴) + 𝑃(𝐡)

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