Probability fundamentals flashcards

Question 1

What is a sample space $S$?

Accepted Answer

The set of all possible outcomes of a random experiment.

Question 2

What is the difference between mutually exclusive events and independent events?

Accepted Answer

Mutually exclusive: $A\cap B=\varnothing$ (cannot both occur). Independent: $P(A\cap B)=P(A)P(B)$ (occurrence of one does not change the probability of the other).

Question 3

State Bayes' theorem for events $A$ and $B$.

Accepted Answer

$$P(A\mid B)=\frac{P(B\mid A)\,P(A)}{P(B)}\quad	ext{for }P(B)>0$$

Probability fundamentals flashcards

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