Randolph College
Department of Mathematics and Computer Science

 

Homework # 8 - MATH 2227


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

 First name:   Last name:


 

For questions 1-5, we roll a pair of fair dice: a red one and a white one. It's important that we can tell these dice apart. So getting a 1 on the red die and 2 on the white die is different than getting a 2 on the red die and 1 on the white die.

 

1.  How many outcomes are in the sample space?

a.  6

b.  11

c.  12

d.  24

d.  36

 

2.  Find P(3 on the red die and 4 on the white die).

a.  \(\frac{1}{6}\)

b.  \(\frac{1}{11}\)

c.  \(\frac{1}{12}\)

d.  \(\frac{1}{24}\)

d.  \(\frac{1}{36}\)

 

3.  Find P(the same number is showing on both dice).

a.  \(\frac{1}{6}\)

b.  \(\frac{1}{11}\)

c.  \(\frac{1}{12}\)

d.  \(\frac{1}{24}\)

d.  \(\frac{1}{36}\)

 

4.  Find P(you get a total of 12).

a.  \(\frac{1}{6}\)

b.  \(\frac{1}{11}\)

c.  \(\frac{1}{12}\)

d.  \(\frac{1}{24}\)

d.  \(\frac{1}{36}\)

 

5.  What is the most likely total of the two dice?

a.  6

b.  7

c.  8

d.  12

d.  All totals are equally likely.