Math 210 Spring 2019

#### Problem Set 1, Due Tues. Jan. 29 in Class (late papers OK until 1:00 Wednesday)

Please put your papers in the mailbox (DRL 4W3) of our TA Yansong Gao

1. Calendar Problems
Given a date, such as March 17, 2011, determine the day of the week (Monday, Tuesday, etc.). [Hint: If today is a Saturday, a day 700 days in the future is also a Saturday, while a day 702 days in the future is "clearly" a Monday (why?)].
Note: A year is a leap year if the year is divisible by 4 and it is not divisible by 100 -- unless it is also divisible by 400. Thus the year 1900 was not a leap year but 2000 was.
To check your procedure, the Unix command cal   2176 gives a calendar for the year 2176.

Probability Problems: The following use only intuitive concepts from probability. We'll discuss them a bit in class on Tuesday. Speak with your friends.
As a reference see, for instance, Grinstead and Snell, Introduction to Probability, Chapter 1 and Chapter 2 .

2. Genetically, to whom are you more closely related: