QUESTION

# Work problems 5, 6 and 7 using the following information The month of February has either 28 or 29 days; April, June, September and November have 30

Work problems 5, 6 and 7 using the following information The month of February has either 28 or 29 days; April, June, September and November have 30 days; January, March, May, July, August, October and December have 31 days. The Answer is D,A,A and could you please explain why those are the answers

Let event A be a month that has at most 30 days.

Let event B be a month that starts with a vowel; that is, the letters {a, e, i, o, u, y}.

5. (3 points) Which statement is true about events A and B?

(A) Events A and B are disjoint (B) Events A and B are complements (C) Events A and B are independent (D) None of the above

6. (3 points) What is the probability that a randomly chosen month has at most 30 days and starts with a vowel?

(A) 1/12 (B) 3/12 (C) 4/12 (D) 5/12

7. (3 points) What is the probability that a randomly chosen month has less than 31 days given that it starts with a vowel?

(A) 4/12 (B) 6/12 (C) 8/12 (D) 9/12