Let P(E) = 0.25 and P(F) = 0.45

Find P(E and F) if P(E or F) = 0.6

Find P(E and F) if E and F are mutually exclusive.

Find P(Fc)

Determine whether the events A and B are independent or dependent.

A: You earn an A on an exam.
B: You study for an exam.
A: You are late for work.
B: Your car has a flat tire.
A: You earn more than $50,000 per year.
B: You are born in the month of July.

Suppose events E and F are independent, P(E) = 0.7 and P(F) = 0.9. What is the P(E and F)?

What is the probability of obtaining 4 ones in a row when rolling a fair, six-sided die? Interpret this probability.

Suppose that E and F are two events and that P(E and F) = 0.21 and P(E) = 0.4. What is P(FE)?

(i) Suppose a single card is selected from a standard 52 - card deck. What is the probability that the card drawn is from a king?

(ii) Now suppose a single card is drawn from a standard 52 - card deck, but we are told that the card is a heart. What is the probability that the card drawn is a king?

(iii) Did the knowledge that the card is a heart change the probability that the card was a king?

(iv) What is the term used to describe this result?