If P(A) = 0.2, P(B) = 0.3, and P(A U B) = 0.48, then P(An B) =|. (a) Are events A and B independent? (enter YES or NO) (b) Are A and B mutually exclusive? (enter YES or NO)

If Event A = {Sunshine in Las Cruces} and Event B = {Wind in Las Cruces}. Write in mathematical notation the following: the probability that it will be windy and sunny on a given day in Las Cruces ? O P(AN B) O P(A)N P(B) None of these P(B|A) О P(А) UP(B) O P(AUB) O P(A|B)

48

K A recent census found that 51.9% of adults are female, 10.9% are divorced, and 5.7% are divorced females. For an adult selected at random, let F be the event that the person is female, and D be the event that the person is divorced. a. Obtain P(F), P(D), and P(F&D). b. Determine P(F or D), and interpret your answer in terms of percentages. c. Find the probability that a randomly selected adult is male.

A conditional Probability: P(A | B) is asking what is the probability we get event A if we know that event B occurred. A useful formula: P (A | B) = ||| P(A and B) P(B) Or: P(A | B) = (remaining # of ways to get A) / (remaining number of possible outcomes) A bag has 5 red balls, 7 green balls, and 8 purple balls. Two balls are going to be selected. After the first ball is drawn it is NOT returned to the bag. Find the probability the second is a red ball if you know the first chosen is a red ball. If A = event a red ball is selected: P(A|A) = ?