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Please explain the answer(C). Thank you so much! The month of February has eithe

ID: 3173302 • Letter: P

Question

Please explain the answer(C). Thank you so much!

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.

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}.

10. (3 points) What is the probability that a randomly chosen month has more than 30 days given that it starts with a vowel? (A) 3/12 (B) 4/12 (C) 8/12 (D) 9/12

Explanation / Answer

No of months that start with a vowel = 3

(april, august, october)

Among the months that start with a vowel, number of months that has more than 30 days = 2

(august and october)

So, probability of a month having 30 days, given that it starts with a vowel = 2/3

2/3 = 8/12 (option C)