Randolph College
Department of Mathematics and Computer Science

 

Homework # 10 - MATH 2227


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

 First name:   Last name:


 

1.  How many different 5-card hands (sets of 5 cards) are there from a standard deck of 52 cards.

a.  2,598,960

b.  311,875,200

c.  1,299,480

d.  155,937,600

d.  52

 

2.  How many different 5-card hands are there consisting of only red cards.

a.  131,560

b.  15,787,200

c.  65,780

d.  7,893,600

d.  26

 

3.  From a well-shuffled deck, find the probability of being dealt a 5-card hand consisting of all red cards.

a.  1.26\(\%\)

b.  2.53\(\%\)

c.  5.06\(\%\)

d.  6.30\(\%\)

d.  50.00\(\%\)

 

4.  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\(\%\)