CP Algebra II 5/11/15
Probability Review
1.
You roll two fair dice. Calculate the each probability.
a.
2.
P(doubles)
b.
P(8 or a heart)
b.
P(sum of 11)
P(Queen or a King)
c.
P(Ace or a red card)
a.
P(Junior)
105
b.
P(Drives to School)
25
c.
P(Sophomore or Drives to School)
d.
P(Junior and Gets a Ride)
e.
P(Junior|Gets a Ride)
f.
P(Drive to School|Sophomore)
Gets a Ride
Sophomore
Junior
148
Total
Total
5.
c.
Complete the table and use it to calculate the each probability.
Drives to
School
82
4.
P(sum of 7)
You select a card from a standard deck. Calculate the each probability.
a.
3.
Name_______________
Two fair, 8-sided dice, one colored white and one colored red, are thrown. Find the probability that:
a.
the red die scores a 7 OR the white die scores a value less than 3.
b.
the score on the white die is 2 OR the sum of the two dice is even.
c.
the score on the white die is prime.
d.
the score on either die is a 2 or 8.
A box contains 5 green pencils and 7 yellow pencils. Two pencils are chosen at random from the box
with replacement. What is the probability they are both yellow?
6.
Two integers from 1 to 10 inclusive are randomly selected. The same number may be chosen twice.
Use an area model to calculate the probability that both numbers are less than 9?
7.
What is the difference between a permutation and a combination?
8.
Katie wants to adopt kittens from a litter of 11. In how many ways can she choose 3 kittens?
9.
Write a problem for...
P
a.
20 3
b.
C 11
72
10.
A hiker can take 4 trails to the lake and then 3 trails from the lake to the cabins. How many routes are
there from the lake to the cabins?
11.
There are six cars entered in a particular race. In how many different ways can four of them finish first,
second, third, and fourth?
12.
Katie’s art store makes custom paints using a base, a texture, and a pigment. If the store has 3 different
bases, 2 textures, and 18 pigments, how many different custom paints can be mixed?
13.
A paper clip holder has 100 paper clips: 30 are red, 25 are yellow, 15 are pink, 11 are blue, and 19 are
green.
a.
A paper clip is randomly chosen. What is the probability that the paper clip is yellow?
b.
A paper clip is randomly chosen. What is the probability that the paper clip is NOT green?
c.
Two paper clips are chosen WITH replacement. What is the probability that the first paper clip
is red and the second paper clip is pink?
d.
Two paper clips are chosen one at a time WITHOUT replacement. What is the probability that
both paper clips are green?
e.
Three paper clips are chosen one at a time WITHOUT replacement. What is the probability
that you choose 1 red, then 1 yellow, and finally 1 green?
f.
Two paper clips are chosen one at a time WITHOUT replacement. Find P(1 blue AND 1 red).
g.
Two paper clips are chosen one at a time WITH replacement. Find P(2 blue OR 2 red).