Select a month at random from a calender. (Assume the monthsare in English.) a.)

Question

Select a month at random from a calender. (Assume the monthsare in English.) a.) Identify the sample space b.) Let A be the event that a month beginning with letter J isselected. What is the probability that A occurs? c.) Let B be the event that a month with five or fewer wordsis selected? What is the probability that B occurs? d.) What is the probability that both A & B occurs? Select a month at random from a calender. (Assume the monthsare in English.) a.) Identify the sample space b.) Let A be the event that a month beginning with letter J isselected. What is the probability that A occurs? c.) Let B be the event that a month with five or fewer wordsis selected? What is the probability that B occurs? d.) What is the probability that both A & B occurs?

Explanation / Answer

(a) sample space is a list of all the possible months. It is {Jan, Feb, March, April,...December} (b) P(A) is just desired outcomes divided by possibleoutcomes. Because the months that start with J are January,June, and July, there are three desired outcomes in A. Thereare 12 possible outcomes. So P(A)= 3/12 or 1/4. (c) Your question says B means 5 or fewer words, but that hasto be a misprint and should say 5 or fewer letters. thedesired months are March, April, May, June, July. There are5. Again, 12 is the number possible. So P(B) = 5/12. (d)For P(A and B) = P( Starts with J and 5 or fewerletters). Only June and July meet these criteria. SoP(AB)= 2/12 or 1/6.

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