Warm-Up 12, Due Thursday, April 15, before class.

Please answer each question in three or more sentences. It is OK to answer 'I don't know' - but try and state why you are confused! No late Warm Ups are accepted for any reason, and only those submitted electronically through this web page (or by email, if the web page has technical problems) are considered.

Your Name:

Question 1

What is the probability that in a group of 25 persons, at least two share the same birthday?

Question 2

You are dealed a hand of 5 cards out of an ordinary poker stack of 52 cards. How likely is it that you have at least one pair, cards of the same value?

Question 3

It is sunday evening, after Thanksgiving break, and you have been visiting your family in Oregon. At the airport shuttle from Malpensa (Star Bus) you see three more Franklin students. What a coincidence, or isn't it? Discuss briefly the probability of such an event.