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

a. Find P (E and F) if P(E or F) = 0.6
b. Find P (E and F) if E and F are mutually exclusive
c. Find P (Fc)

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

a.

i. You earn an A on an exam

ii. You study for an exam

b.

i. You are late for work
ii. Your car has a flat tire

c.

i. You earn more than $50,000 per year
ii. You are born in the month of July

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

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

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

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

7. Now suppose a singe 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?

8. Did the knowledge that the card is a heart change the probability that the card was a king?

9. What is the term used to describe this result?