WorksheetsCumulative Review Probability
Total questions: 150
Worksheet time: 13hrs 40mins
A regular 6-sided die is to be rolled once. What is the probability that a number less than 3 is rolled?
1/3
1/6
1/2
2/3
A regular 6-sided die is to be rolled once. What is the probability that a number less than or equal to 4 is rolled?
1/2
1/4
5/6
2/3
A spinner has 8 equal regions. Each region is marked with one of the following numbers: 10, 20, 30, 40, 50, 60, 70, 80. What is the probability of an even number being spun on the first roll?
1/8
1/2
1
3/8
There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?
1/2
1/7
2/15
2/17
If you select a marble without looking, how likely is it that you will pick a black one?
certain
probable
unlikely
impossible
If you select a marble without looking, how likely is it that you will pick a black one?
certain
probable
unlikely
impossible
Kevin is making an omelet. There are 7 types of meat and 2 types of cheese to choose from. How many different omelets can Kevin make using exactly one of each item?
7
14
9
24
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?
Find the probability of these 3 events.
P(red, odd, 3)
*Remember to simplify.*
If you select a marble without looking, how likely is it that you will pick a black one?
certain
probable
unlikely
impossible
If you select a marble without looking, how likely is it that you will pick a black one?
certain
probable
unlikely
impossible
If you select a marble without looking, how likely is it that you will pick a black one?
certain
probable
unlikely
impossible
If you select a marble without looking, how likely is it that you will pick a black one?
certain
probable
unlikely
impossible
If you select a marble without looking, how likely is it that you will pick a white one?
certain
probable
unlikely
impossible
What is the probability that the spinner will land on yellow?
certain
probable
unlikely
impossible
What is the probability of flipping a coin
3 times and getting 3 heads?
1/8
1/4
1/2
3/4
The theoretical probability of rolling an even number on a dice.
3/6
1/2
1/6
5/6
A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?
1/9
2/9
5/21
10/21
You pick a marble from this bag.
What is the probability you will choose either a black or white marble?
3/5
9/100
1/10
2/5
In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a brown, then black sock?
1/11
1/18
1/36
2/33
You roll two die.
What is the probability you will roll a 4, then roll a number less than 3?
1/36
1/18
1/9
1/6
You spin the spinner. How many possible outcomes are there?
4
8
1
6
picking an even number.
picking a number divisible by 5.
What is the probability of flipping a coin, getting tails?
1/2
1/3
1/4
Never, Tails never fails.
What is the probability of spinning an even number?
30%
33%
50%
67%
I flip a coin: which of these describes the possible outcomes?
Select all correct options!
{Heads}
{Tails}
{Heads, Tails}
{No Heads, 1 Head}
I throw a regular 6 sided dice.
The Outcome set is {1, 2, 3, 4, 6, x}
What is the value of x?
1/6
0
7
5
When listing the outcomes of an event, the order of the list matters
True
False
An Event is the action you take, not the outcome.
Which of the following are Events?
Throwing a dice
Throwing a dice and getting a 5
Flipping a coin
Flipping a coin and getting Heads
The Event is: "I spin this five-sided spinner".
Which of these describes the outcome set?
(select all correct answers)
{1,2,3,4,5}
1/5
{Red, Purple, Green, Yellow, Pink}
{5, 2, 3, 1, 4}
The spinner is spun again.
Select all the TRUE statements:
There are 5 outcomes
Pink is the most likely outcome
All outcomes are equally likely
If I spin it 100 times, I could get No Greens at all
If I spin 100 times, I would expect to get around 20 greens
When I spin this spinner, the 5 outcomes are all equally likely.
The following statements are TRUE, but which one justifies this fact?
1,2,3,4,5 are all in numerical order and equally spaced.
There are 5 different colours.
The pentagon has five sides.
The spinner has rotational symmetry order 5.
Select the correct option:
Throwing a dice and getting a 5 is:
An Event
An Outcome for an event
I throw a coin TWICE.
Which ONE of these describes all the possible outcomes?
{HH, HT, TT}
{HH, HT, TH, TT}
{H, T, H, T}
I flip a regular coin twice, and record the number of Heads I get.
Which of the following are TRUE - select all that apply:
The outcome set is {0,1,2}.
The outcomes 0,1 and 2 are all equally likely.
1 is the most likely outcome
The outcomes are random, but not all equally likely
I throw a FAIR dice, with outcomes {1,2,3,4,5,6}
What does the word FAIR tell us?
Select all statements that apply
All six outcomes are equally likely
There is no bias (i.e. preference) for any outcome
The probability of getting a 5 is 1/6
The outcome cannot be exactly predicted
I throw a regular Heads/Tails coin 30 times, and I record "HEADS" 18 times.
Which of these statements seem reasonable to make:
select all that you agree with
The coin is probably fair
The coin is biased towards Heads
The coin could be biased towards Heads
The coin cannot be fair, because there are not exactly 15 Heads.
I recorded "TAILS" 12 times
Peter and Jane are testing a coin to see if it is fair by flipping it 30 times.
*Peter says if they get between 13 and 17 heads, he will accept it is fair.
*Jane says if they get between 10 and 20 heads, she will accept it is fair.
Select the statements you agree with
Peter's test is better than Janes
Peter is more likely to Wrongly Reject a Fair coin
Jane is more likely to Correctly Identify a Fair coin
If Peter says the coin is fair, I'm more convinced than if Jane does
If Jane says the coin is Biased, I am more convinced than if Peter does
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
5/11
5/6
1/3
5
There are 15 girls and 15 boys in 8th period. If Terry randomly selects a member of 8th period, what is the probability that she will select a boy?
15/15
1/2
15/40
8/15
What is the probability of spinning a 2 on the spinner?
1/2
1/3
1/8
1/4
What is the probability the spinner stops on yellow?
.05
50%
25%
3/8
What is the probability of spinning red?
0
5/12
1/2
3/4
You flip a coin.
What is P(heads)?
50%
1%
25%
100%
You pick a card at random.
What is P(5)?
3/1
3/4
1/4
1
Gabby is picking out fabric for her bedroom. She has 20 fabric samples, and 8 of them are plaid.
What is the probability that a randomly selected fabric sample will be plaid?
12/20
2/5
1/20
20
There are 15 pieces of fruit in a basket, including 3 oranges. What is the probability that a randomly selected piece of fruit will be an orange?
1/5
3/5
5/15
3/10
Cindy owns 7 t-shirts, 2 of which are gray. If Cindy randomly selects a t-shirt to wear, what is the probability it will be gray?
2/7
5/7
7/7
1/7
A bakery has 14 desserts for sale, including 6 pieces of pie. What is the probability that a randomly selected dessert will be a piece of pie?
3/7
14/6
1/4
1/3
There are 18 dogs at the dog park on a busy Saturday. 4 of them are Yorkshire terriers. What is the probability that a randomly selected dog is a Yorkshire terrier?
2/9
9/2
1/4
1/5
Earl Darenz is asked to choose a day from a week. What is the probability of choosing a day which starts with S.
1/7
2/7
2/3
1/3
Of the people attending a seminar, 3 have gray hair and 30 do not. What is the probability that a randomly selected person will have gray hair?
1/10
30/3
5/30
3/5
Roll dice: 1, 3, 3, 4, 4
P(3) =
A box contains 7 purple marbles, 6 green marbles, 2 yellow marbles, and 5 blue marbles. What is the probability of selecting a blue marble?
1/4
7/20
3/4
13/20
A box contains 7 purple marbles, 6 green marbles, 2 yellow marbles, and 5 blue marbles. What is the probability of not selecting a blue marble?
1/4
7/20
3/4
13/20
What is the probability of spinning an even number on the spinner pictured?
16 2/3%
33 1/3%
50%
75%
What is the probability of not spinning an even number on the spinner pictured?
16 2/3%
33 1/3%
50%
75%
A study of a population of 120 frogs revealed that 10 out of every 60 frogs in the population have spots on their back. Based on the results of this study, how many frogs in the population do NOT have spots on their back?
80
100
20
120
A study of a population of 120 frogs revealed that 10 out of every 60 frogs in the population have spots on their back. Based on the results of this study, how many frogs in the population do have spots on their back?
80
100
20
120
What is the probability of spinning green?
0
1/4
1/2
3/4
What is the probability of not spinning green?
0
1/4
1/2
3/4
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of not choosing the letter “A”?
2/7
5/49
5/7
10/49
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing the letter “A”?
2/7
5/49
5/7
10/49
An event is DEPENDENT, if...
The first event has no affect on the next event
The first event affects the second event
Is the event INDEPENDENT or DEPENDENT?
Amy plays card games. She picks a card at random. Then without putting the first card back, he picks a second card at random.
Independent
Dependent
Cindy flips a coin once, records the result, then flips it again. Does this situation represent INDEPENDENT or DEPENDENT events?
Independent
Dependent
Sue will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Sue will select a treat, not replace it, and then select a second treat.
Independent
Dependent
A jar contains 4 white playing chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. Find P(purple then black)
1/18
2/5
3/7
4/9
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. Find P(both marbles are purple)
2/9
1/3
1/2
1/4
What is the probability when Sue will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Sue will select a treat, not replace it, and then select a second treat. Find P(gumball then lollipop)
1/24
4/15
1/100
2/10
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. Find P(white, then purple, then black)
1/36
2/39
5/41
6/43
P(apple, apple)
You are at the movies with your friends and decided to buy a small bag of gummy bears. There are 4 red bears, 5 green bears, and 3 yellow bears in the bag. What is the probability that you will get yellow gummy bears and then red gummy bears?
The probability is 3/11
The probability is 1/11
The probability is 3/132
The probability is 3/12
P(1 and A)
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?
1/12
1/4
1/8
1/2
P(2, then odd)
How many total outcomes are there?
