Assessment: Probability

What is the sample space?

What does it mean for two events to be independent?

P(E) = 0.72. Find P(E').

P(A) = 0.4, P(B) = 0.5, P(A∩B) = 0.1. Find P(A∪B).

A fair coin is tossed 3 times. Find the probability of getting heads all three times.

P(A∩B) = 0.24 and P(B) = 0.4. Find P(A|B).

Why is the complement rule useful for "at least one defect in a batch" quality-control questions?

An insurance company has 5,000 policyholders, each with a 0.02 probability of filing a claim this year. Find the expected number of claims.

A card is drawn from a standard 52-card deck. Find P(spade or face card), as a decimal rounded to 2 places. (13 spades, 12 face cards, 3 of the face cards are spades.)

If A and B are independent, what is P(A|B)?