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WorksheetsChapter 3 Test Review (Prob/Counting Principle)
Total questions: 40
Worksheet time: 1hrs 20mins
Independent vs. Dependent: The probability of walking to the third floor and taking a science class.
Independent
Dependent
Independent vs. Dependent: The probability of having children, the first being a boy and the second being a girl.
Independent
Dependent
Independent vs. Dependent: The probability of drawing a 2 of Heart and a 4 of Diamonds with replacement.
Independent
Dependent
Independent vs. Dependent: The probability of drawing two red face cards without replacement.
Independent
Dependent
Mutually Exclusive vs. Inclusive: The probability of selecting a statistics student with brown hair or green eyes.
Mutually Exclusive
Inclusive
Mutually Exclusive vs. Inclusive: The probability of selecting a dog or a cat from an animal shelter
Mutually Exclusive
Inclusive
Mutually Exclusive vs. Inclusive: The probability of rolling a 4 or a multiple of 5 on a pair of dice
Mutually Exclusive
Inclusive
Mutually Exclusive vs. Inclusive: The probability of drawing an Ace or a Spade
Mutually Exclusive
Inclusive
The word to identify to use multiplication is.....
OR
AT LEAST
AND
The word to indicate the addition rule is....
OR
AT LEAST
AND
The word to indicate a complementary event is....
OR
AT LEAST
AND
P(rolling a 4 and 8 on a pair of dice)
8/12
8/36
2/12
2/36
P(drawing a black face card or red number card)
0.808
0.577
0.923
0.462
P(drawing a red number card)
69.2%
50.0%
34.6%
76.9%
P(Having a Boy and Girl and Boy in a family)
1/6
1/8
3/6
3/8
P(rolling a multiple of 2 or a multiple of 3 on a pair of dice)
20/72
30/36
30/72
20/36
P(flipping a Heads)
25%
50%
75%
100%
P(drawing a King and a Queen and a King, without replacement)
0.00034
0.00036
0.00046
0.00048
P(drawing a Spade or a Face card)
22/52
25/52
22/104
25/104
Order IS important
Permutation
Combination
Fundamental Counting Principle
Order IS NOT important
Permutation
Combination
Fundamental Counting Principle
3 digit code: First digit is a letter not A, B, or C, second digit is a number 0-9 that is not 0 or 1, and third digit is a number 0-9 that is a multiple of 2. How many different ways?
1,040
920
736
4 digit code: First digit is a number 0-9 that is odd, second digit is the number of different letters in the word apple, third digit is a number 0-7, and fourth digit is a vowel. How many different ways?
800
840
900
A small town radio station has 100 different songs to choose from on a daily basis. If at the top of every hour they choose 10 songs to play non-stop, how many different ways can the radio station play their songs?
6.28 x 1019
1.73 x 1013
A basketball team consists of 15 players on the roster. How many lineups can be created by the coach for the starting 5 players?
360,360
3,003
The senior class has 18 people running for the offices of president, vice president, secretary, and treasurer. How many different ways can the offices be filled?
73,440
3,060
Fred and George have a mission to try every kind of pizza available at their local pizza place. If there are 12 toppings available to choose from and they choose 4 toppings each time to place on the pizza, how many different ways can Fred and George have their pizza?
11,880
495
In a box of 15 bolts there are 2 defective bolts in a single box. Two parts are drawn from the box without replacement. Find the probability both parts are defective.
0.133
0.0667
0.00952
0.0178
In a box of 15 bolts there are 2 defective bolts in a single box. Two parts are drawn from the box without replacement. Find the probability that both parts are not defective.
0.867
0.751
0.0667
0.743
Complementary Event: The probability 2 defective parts are drawn is 0.135 and the probability 2 not defective parts are drawn is 0.775. What is the probability that at least one part is defective?
0.225
0.865
A questions provides details about the number of each particular part and inclines you to find the find the different ways.
Permutation
Combination
Fundamental Counting Principle
What are the 3 ways to write a probability?
Fraction; Decimal; Ratio
Decimal; Percent; Number
Fraction; Decimal; Percent
Decimal; Ratio; Percent
What word could indicate to use a permutation?
Different Combinations
Different Arrangements
Different Ways
What word could indicate the use of a combination?
Different Orders
Different Arrangements
Different Ways
What is the relationship of n and r for a permutation?
n > r
n >= r (greater than and equal to)
n < r
n = r
What is the relationship between n and r for a combination?
n > r
n >= r (greater than and equal to)
n < r
n = r
Simple or Not Simple: Drawing a red number card
Simple
Not Simple
Simple or Not Simple: Rolling a 5 on a single die
Simple
Not Simple
At a college 0.68 of students own a car. Another 0.81 live on campus. Then there are 0.72 college students who own both a car and live on campus. What is the probability that a college student owns a car or lives on campus?
1.49
0.77
0.72
0.81
At a college 0.68 of students own a car. Another 0.81 live on campus. Then there are 0.72 college students who own both a car and live on campus. What is the probability that a college student neither owns a car or lives on campus?
1.49
0.77
0.23
0.68
