probability review game. $2 $5 $10 $20 $1 $2 $5 $10 $20 $1 $2 $5 $10 $20 $1 $2 $5 $10 $20 $1 $2 $5...
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Probability
Review Game
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$10
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$2
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Combinations Permutations Probability Potpourri Review
Your english teacher has asked you to select five novels from a list of 8 to read as an independent project. How many combinations of 5 books
could you choose from?
56
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!3!5
!8
5
858
C
In how many ways can two people be chosen from a class of 25?
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300!23!2
!25
2
25225
C
If you have 8 choices for freshman classes at college, and you want to take 4 your first
semester, how many options do you have?
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70!4!4
!8
4
848
C
A pizza company offers three cheeses and 7 toppings. How many combinations of pizzas with
one cheese and 2 toppings are there?
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63!5!2
!7
!2!1
!3
2
7
1
32713
CC
How many five-card hands can be made with a Euchre deck of 24 cards?
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42504!19!5
!24
5
24524
C
There are 6 songs on a CD. In how many orders could the songs be played if each is played only
once?
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720!6
How many different ways can the letters in the word “SOCCER” be arranged?
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360!2
!6
There are five runners in a race. First place is awarded $100, second place $50, and third place
$10. Assuming there are no ties, in how many different ways can the prizes be awarded?
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60345
A photographer is taking a family picture of a family with two parents and four children. How many ways can the six people stand in a line if
the parents are in the middle?
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48121234
In how many ways can six objects be arranged in a circle?
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120!56
!6
A bag contains 4 orange marbles, 5 yellow marbles, and 6 purple marbles. What is the
probability of drawing a yellow marble?
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3
1
15
5
A bag contains 4 orange marbles, 5 yellow marbles, and 6 purple marbles. What is the probability of drawing an orange marble and
then a purple marble?
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35
4
14
6
15
4
A bag contains 4 orange marbles, 5 yellow marbles, and 6 purple marbles. What is the
probability of drawing a purple marble and then two non-purple marbles?
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455
72
13
8
14
9
15
6
Box A contains 5 quarters and 2 dimes.Box B contains 3 quarters and 4 dimes.
A coin is drawn from box A and put in box B. If the coin drawn from box A is a quarter, what is
the probability that a quarter is then drawn from box B?
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2
1
8
4
A number is cube is rolled. What is the probability that a 6 is rolled given that the roll is
even?
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3
1
Ben and Genesis are two of 21 students in a class. Two students will be chosen from the class
at random to attend a field trip. What is the probability that Ben and Genesis will both be
chosen?
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210
1
20
1
21
2
What is the standard deviation of the following:{12, 5, 13, 19, 9, 7}
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67.43
519
56.4
How many different ways can the letters in the word “BASEBALL” be arranged?
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5040!2!2!2
!8
Find the standard deviation of {85, 73, 91, 67, 87, 79}
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83
6791
3.8
If you’re taking a multiple choice test with 5 questions, each with 4 options, how many possible ways are there to answer
the questions?
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1024444444 5
Write the first five rows of Pascal’s Triangle.
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If the first four terms of an arithmetic series are 1, 4, 7, 10
What is the nth term of the series?
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23311 nnan
What is the first term of an arithmetic sequence with a2=8 and a6=32?
a1=2
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What are the first three terms of (x-2y)5?
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2345 4010 yxyxx
What are the first three terms of (2x-3y)5?
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2345 72024032 yxyxx
Make sure your name is in the upper right corner of your paper.
Make sure your total score is written close to your name and
circled.
