Randolph College
Department of Mathematics and Computer Science

 

Homework # 9 - MATH 2227


The problems on this homework must be done alone.  The honor code is in effect.

 First name:   Last name:


 

1.  If we select 5 cards from a well-shuffled deck, what's the probability that we get four-of-a-kind (4 cards that are 1 value, and another card that's another value).

a.  About .00010

b.  About .00024

c.  About .00048

d.  About .00096

d.  About .00192

 

2.  Assuming that birthdays are uniformly distributed among 365 days in a year, compute the probability that in a randomly selected group of 40 people, at least two share a birthday.

a.  11.0\(\%\)

b.  29.3\(\%\)

c.  60.1\(\%\)

d.  78.8(\%\)

d.  89.1\(\%\)