WorksheetsProbability and Counting Learning Task
Total questions: 44
Worksheet time: 4hrs 40mins
The letters in the word AUGUST are placed into a bag. What is the probability of selecting a U?
52
31
53
63
Given a standard number cube, and the events of rolling an odd number or a 4. Are the events mutually exclusive?
Not Mutually Exclusive
Mutually exclusive
Neither
Both
You have a 73% chance of passing any stats quiz. What is the probability you fail one quiz, then pass the next 3?
39%
11%
8%
32%
What is P(purple then black)?
To find the probability of two independent events, you
Find the probability of event #1
Find the probability of event #2
Add the probability of both event #1 & event #2
Multiply the probability of both event #1 & event #2
Find the probability that all flips will land on tails.
Identify whether the following events are dependent or independent.
A: Tossing a coin
B: Drawing a card from a deck
Independent
Dependent
Cannot Be Determined
Both
The outcomes for rolling two number cubes numbered 1 through 6 are shown above. What is the probability the sum of the number cubes will be 7 or 4?
121
61
41
3611
A total of 540 customers, who frequented an ice cream shop, responded to a survey asking if they preferred chocolate or vanilla ice cream.
308 of the customers preferred chocolate ice cream.
263 of the customers were female.
152 of the customers were males who preferred vanilla ice cream.
What is the probability that a customer chosen at random is a male or prefers vanilla ice cream?
540419
180119
540197
13538
If you roll one die, what is the probability of getting an even number or a multiple of 3? Are the events mutually exclusive or not?
Not mutually exclusive
Mutually exclusive
A Mathematics test contains five different questions labeled A, B, C, D, and E. You are supposed to choose 2 to answer. How many different ways are there to do this?
5
10
15
12
A group of 8 swimmers are swimming in a race. Prizes are given for first, second, and third place. How many different outcomes can there be?
336
56
24
274
Four students need to be selected from a class
of 15 to help clean up the campus. How many different ways can the 4 students be chosen?
32 760
60
1 365
25
How many ways can a club select a president, vice president, and a secretary from a group of 5 people?
12
60
15
30
Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?
23
840
42
3,628,800
Six friends are going to play a ball game. Each team has 3 players. How many different team combinations are possible?
120
6
18
20
In how many ways can a group of 4 boys be selected from 10 if the oldest boy is included in each group?
84
81
504
6
Calculate the number of ways to select 4 players from a group of 7 badminton players for a double match
28
35
840
5040
Sam is going to assemble a computer by himself. He has the choice of chips from 2 brands, a hard drive from four, a memory from 3 and an accessory bundle from five local stores. How many ways can Sam order the parts?
140
120
110
210
How many four digit-numbers can be formed from the numbers 0, 1, 2 , 5, 6 and 9, if each digit can be used only once
300
625
360
720
How many four digit-numbers can be formed from the numbers 0, 1, 2 , 5, 6 and 9, if repetitions are allowed?
360
1080
300
600
In how many different ways can 3 people be arranged in a row for a photograph if they are selected from a group of 5 people?
12
60
10
120
A committee of seven is to be chosen from a class of 20 students. The committee consists of a chairman, a vice chairman, a secretary, and four other members. In how many ways can this committee be chosen?
16 279 200
370 700 800
77 520
390 700 800
If a 22-member club needs to elect a chair and a treasurer, how many different ways can these be elected?
462
484
231
426
If there are 16 boys and 22 girls in a class, write the correct number of ways of selecting one student as a class representative
(a)
If a student want to buy 7 reference's books and 8 exercise's books, then what is the total number of ways of choosing one from all the books
(a)
Find number of ways of arranging 5 digit numbers from the digits 1, 2, 7, 8 and 9 if repetition is allowed
(a)
Find number of ways of arranging 6 digit numbers from the digits 1, 2, 3 and 4 if repetition is allowed
4096
256
16
Calculate numbers of ways of arranging the word 'FANTASTICS' in a line
907200
453600
1814400
Without repetition, calculate the number of ways arranging the word 'SMILE'
(a)
There are 15 participants in program called "Zero Fails Mathematics". Give the possible number of ways for the first 3 places to be seated as VIP by the participants.
2730
455
125
There are five flavors of ice creams such as chocolate, mint, strawberry, vanilla and yam. You can have three scoops of ice cream at once. Find the number of variations that you can have.
(a)
Find the number of ways of arranging all the letters in the word "GLAMOUR" without repetition such that the first and the last letters are consonants.
(a)
Calculate the number of ways that the three balls can be chosen randomly from a bag of 15 red balls, 13 green balls and 10 black balls if each ball is from all colors.
(a)
