Mathematical Methods Β· Unit 1 Β· Probability Β· Conditional probability and independence

Use the notation 𝑃(𝐴|𝐡) and the formula 𝑃(𝐴 ∩ 𝐡) = 𝑃(𝐴|𝐡)𝑃(𝐡) to solve problems.

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Use the formula 𝑃(𝐴 ∩ 𝐡) = 𝑃(𝐴)𝑃(𝐡) for independent events 𝐴 and 𝐡.
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Use the rules 𝑃(𝐴) = 1 βˆ’ 𝑃(𝐴) and 𝑃(𝐴 βˆͺ 𝐡) = 𝑃(𝐴) + 𝑃(𝐡) βˆ’ 𝑃(𝐴 ∩ 𝐡).
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