Probability Distributions & Descriptive Statistics - Probability Theory

5 important questions on Probability Distributions & Descriptive Statistics - Probability Theory

What is the complement rule?

P(A) = 1 − P(Ac)

➡️ The chance of A happening equals 1 minus the chance that A doesn’t happen.

What is the conditional probability formula?

➡️ The probability that B happens given A has already occurred.

What is the law of total probability?

P(A) = P(A ∩ B) + P(A ∩ Bc) ➡️ The total probability of A equals the sum of A happening with B and without B.
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What is Bayes’ theorem?

➡️ Updates how likely B is after observing A (used a lot in decision making and AI).

What does it mean that two events are independent?

The occurrence of one doesn’t affect the other.

P(A∣B) = P(A) and P(A ∩ B) = P(A)P(B)

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