# PreCalculus Name: Chapter 12 Test ```PreCalculus
Chapter 12 Test
Name:
Show all work for all problems!
1.
Calculate the number of permutations of six objects taken four at a time.
2.
Write the number of combinations of ten objects taken seven at a time.
3.
Given X and Y are independent events and P( X )  0.6 and P(Y )  0.7 , find P( XandY ) .
4.
Given X and Y are independent events and P( X )  0.6 and P(Y )  0.7 , find P ( XorY ) .
5.
If the probability of rain on a particular day is 60%, what is the probability of no rain on that day?
6.
If the probability of rain is 60% on each of three consecutive days, find the probability that it
rains on all three days.
7.
If the probability of rain is 60% on each of three consecutive days, find the probability that it
rains on exactly two of the three days.
8..
9.
Factor the following completely
a.
6 x2  8x  2
b.
a 5  243
c.
3x 2 (8x  3)  x3  8
Suppose there is a 70% chance of rain on Thursday and a 60% probability of rain on Friday. Find
the probability
a.
It rains both days
b.
It rains neither day
7
10.
Find  
3
11.
Find the term in the binomial series from (a  b) 7 that has b 3 .
 
12.
As you drive north on College, you have a 40% probability of having to stop at the traffic light at
the intersection with Horsetooth. If you drive this way everyday for a week, what is the
probability you will have to stop all seven times?
13. If A  1,3,5,7,9and B  1,5,6,7 and C  1,2,4,6,8,9find
a.
B C
b.
AC
14.
If n( D)  15, n( E )  20, and n( D  E )  10 , find n( D  E )
15.
Let A represent &quot;art&quot;, B represent &quot;biology&quot;, and C represent &quot;calculus.
Find:
a.) How many students are enrolled in Calculus and Biology?
b.)
How many are in Art but not in Calculus?
c.)
What is the probability that you randomly select
one of the sixty students and that particular student is
enrolled in all three classes?
```