Question

1. A randomly selected freshman takes English with probability 0.7, takes Math with probability 0.5, and takes either English or Math with probability 0.8. What is the probability of taking both English and Math?

2. Two mutually exclusive events A and B have P(A) = 0.2, P(B) = 0.3. Find P (A or B).

3. Two independent events A and B have P(A) = 0.2, P(B) = 0.3. Find P (A or B).

4. If P (A | B) = 0.8 and P(B) = 0.6, find P (A and B).

5. Given the following table, evaluate

	Yes	No	No opinion	total
Men	80	160	60	300
Women	100	130	70	300
total	180	290	130

P(No), P (Woman and Yes), P (Man | Yes), P (No opinion | Woman), P(Men or No Opinion).

Are Women and No mutually exclusive?

Are Women and No independent?

6. A box contains 5 blue chips, 4 red chips, and 7 green chips. Select 10 chips at random.

1. In how many ways can this be done?
2. How many of these selections consist of 3 blue chips, 2 red chips, and 5 green chips?

(do not simplify your answers, leave them in terms of binomial coefficients).

Answer 1