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Basic Probability

Total questions: 15

Worksheet time: 54mins

Name
Class
Date
1.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
2.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
3.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
4.
A die is rolled. What is the probability that the result is less than 3 ?
a)
1/2
b)
1/3
c)
1/4
d)
1/6
5.

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.


P (penny, then dime).

a)

1/8

b)

9/100

c)

6/65

d)

17/195

6.

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.


P ( worth at least 10 cents, then penny).

a)

7/20

b)

1/25

c)

11/100

d)

22/195

7.

Find the probability of each set of independent events.


flipping a tail on a coin and spinning a 5 on a spinner with sections of equal area numbered 1-5.

a)

1/2

b)

1/7

c)

1/5

d)

1/10

8.
Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?
a)
1 ⁄ 16
b)
1 ⁄ 2
c)
1 ⁄ 4
d)
1 ⁄ 8
9.
Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?
a)
1
b)
3628800
c)
100
d)
1814400
10.
In the orchestra, there are eight violinists in the front row. How many different ways can they be seated?
a)
40320
b)
1
c)
64
d)
8
11.
How many different 10-letter arrangements can be made from the word BASKETBALL?
a)
3628802
b)
453600
c)
604800
d)
26300
12.
Grant has five pairs of pants, nine shirts, and six ties. How many different outfits can he make consisting of one pair of pants, one shirt, and one tie?
a)
45
b)
270
c)
30
d)
54
13.
Jane needs to make a four-letter password. If the first letter has to be a vowel, how many possibilities are there to choose from?
a)
456976
b)
104
c)
160
d)
87880
14.
How would you solve?
A book club offers a choice of 8 books from a list of 40.  In how many ways can a member make a collection?
a)
Permutation
b)
Combination
c)
Factorial
d)
MPC
15.
What is Theoretical Probability?
a)
The ratio of favorable outcomes to the total number of possible outcomes
b)
The ratio of favorable outcomes to the total number of trials in an experiment
c)
In probability, a controlled, repeated process (such as repeatedly tossing a coin).
d)
A single possible result.