Probability MCQs
Basic Probability (Single Event)
1. A bag contains 4 red, 5 blue, and 6 green balls. If a ball is drawn at random, what is the
probability that it is blue?
A) 1/3
B) 5/15
C) 5/14
D) 6/15
2. A die is rolled once. What is the probability of getting a prime number?
A) 1/6
B) 1/2
C) 2/3
D) 1/3
3. A deck of 52 playing cards is shuffled. What is the probability of drawing a King?
A) 1/52
B) 4/52
C) 1/13
D) 1/4
4. A number is chosen at random from 1 to 20. What is the probability that it is a multiple of
4?
A) 4/20
B) 5/20
C) 1/5
D) 1/4
5. A spinner has equal sections numbered 1 to 10. What is the probability of spinning an
even number?
A) 1/2
B) 1/4
C) 2/3
D) 3/5
Probability of Complementary Events
6. A bag has 10 marbles (6 white, 4 black). If a marble is drawn at random, what is the
probability that it is not black?
A) 4/10
B) 3/5
C) 6/10
D) Both B and C
7. A fair die is rolled. What is the probability of not rolling a 5?
A) 1/6
B) 5/6
C) 2/3
D) 1/3
8. A card is drawn from a deck of 52 cards. What is the probability that it is not a face card
(King, Queen, Jack)?
A) 3/4
B) 10/13
C) 4/13
D) 9/13
9. A box contains 8 red, 7 yellow, and 5 green balls. What is the probability of not drawing
a yellow ball?
A) 5/20
B) 8/20
C) 13/20
D) 7/20
10. A two-digit number is chosen at random. What is the probability that it does not end in
7?
A) 4/5
B) 9/10
C) 3/10
D) 7/10
Conditional Probability
11. A fair die is rolled. Given that the number is odd, what is the probability that it is greater
than 3?
A) 1/2
B) 2/3
C) 1/3
D) 3/5
12. A deck of cards is shuffled, and a card is drawn. Given that it is a heart, what is the
probability that it is a face card?
A) 1/4
B) 3/13
C) 3/10
D) 4/13
13. A box contains 3 red, 5 blue, and 4 green balls. One ball is drawn and not replaced.
Then another ball is drawn. What is the probability that the first ball was red given that the
second ball was blue?
A) 3/12
B) 3/11
C) 5/12
D) 1/4
14. A family has two children. Given that at least one is a boy, what is the probability that
both are boys?
A) 1/2
B) 1/3
C) 2/3
D) 3/4
Independent and Dependent Events
15. A coin is tossed and a die is rolled. What is the probability of getting heads and an even
number?
A) 1/3
B) 1/4
C) 1/6
D) 1/2
16. A bag has 3 red, 2 green, and 5 blue marbles. Two marbles are drawn without
replacement. What is the probability that both are red?
A) 3/10
B) 1/5
C) 1/15
D) 1/3
17. In a factory, 80% of light bulbs produced are good, and 20% are defective. If two bulbs
are selected randomly, what is the probability that both are defective?
A) 0.04
B) 0.20
C) 0.25
D) 0.30
18. A fair coin is tossed 3 times. What is the probability of getting at least one tail?
A) 1/2
B) 3/4
C) 7/8
D) 5/6
Probability Using Counting Techniques
19. How many different ways can a committee of 3 be chosen from 7 people, and what is the
probability that a particular person is included?
A) 35 ways, 3/7
B) 25 ways, 1/3
C) 28 ways, 2/5
D) 21 ways, 4/7
20. A box contains 10 balls numbered 1 to 10. If two balls are picked randomly, what is the
probability that their sum is even?
A) 1/2
B) 3/5
C) 4/5
D) 1/3
21. A 4-digit PIN is chosen at random. What is the probability that all 4 digits are different?
A) 0.3024
B) 0.4012
C) 0.5046
D) 0.6534
22. Two dice are rolled. What is the probability that the sum is greater than 9?
A) 1/12
B) 1/6
C) 1/4
D) 5/12
23. A standard deck of 52 cards is shuffled. Two cards are drawn. What is the probability
that both are aces?
A) 1/1326
B) 1/221
C) 1/52
D) 1/169
Answer Key
1. C (5/14)
2. B (1/2)
3. C (1/13)
4. C (1/5)
5. A (1/2)
6. D (Both B and C)
7. B (5/6)
8. B (10/13)
9. C (13/20)
10.B (9/10)
11.B (2/3)
12.B (3/13)
13.B (3/11)
14.B (1/3)
15.C (1/6)
16.B (1/5)
17.A (0.04)
18.C (7/8)
19.A (35 ways, 3/7)
20.A (1/2)
21.A (0.3024)
22.D (5/12)
23.B (1/221)
BODMAS MCQs
Basic Operations
1. What is the value of 8 + 4 × 3?
A) 36
B) 20
C) 24
D) 32
2. What is the result of 12 ÷ 3 × 2?
A) 2
B) 4
C) 8
D) 6
3. Solve 15 - 3 × 2 + 6 ÷ 3
A) 12
B) 9
C) 11
D) 15
4. Calculate (5 + 3) × 2 - 4
A) 10
B) 12
C) 14
D) 16
5. Find the value of 25 ÷ (5 + 5) × 4
A) 4
B) 10
C) 6
D) 8
Brackets and Orders (Exponents, Roots, etc.)
6. Evaluate (4 + 6) × 3 - 2²
A) 24
B) 28
C) 26
D) 30
7. What is (18 - 3 × 2) ÷ 3?
A) 4
B) 3
C) 6
D) 5
8. Solve 4² ÷ (8 - 4) + 3
A) 5
B) 6
C) 7
D) 8
9. What is the value of (12 ÷ 4) + (9 - 3)²?
A) 37
B) 27
C) 39
D) 35
10. Calculate (30 ÷ 5) × 3² - 4
A) 50
B) 46
C) 42
D) 48
Mixing Operations with Parentheses
11. Solve (6 + 2) × 3 - 4²
A) 10
B) 12
C) 8
D) 6
12. What is the value of (20 ÷ 4) × (6 - 2) + 5²?
A) 29
B) 35
C) 45
D) 41
13. Find the value of 8² ÷ (4 + 4) - 2 × 3
A) 6
B) 8
C) 4
D) 10
14. Evaluate (5² - 10) ÷ (6 - 4)
A) 5
B) 7
C) 8
D) 10
15. What is the result of (50 ÷ 5) + (8 × 2) - 3²?
A) 13
B) 15
C) 17
D) 19
Division and Multiplication Focused
16. Compute 60 ÷ (3 × 4) + 2²
A) 5
B) 6
C) 7
D) 8
17. Solve (30 ÷ 5) × (8 - 3) + 2³
A) 25
B) 35
C) 40
D) 45
18. What is the result of (7² ÷ 7) × 2 - 6?
A) 8
B) 10
C) 12
D) 14
19. Calculate (48 ÷ 6) × 5 - 4²
A) 36
B) 32
C) 28
D) 30
20. What is (4³ ÷ 8) + 2 × 5?
A) 16
B) 20
C) 18
D) 22
Challenging BODMAS Calculations
21. Solve (6² - 5 × 2) ÷ (9 - 6)
A) 7
B) 9
C) 8
D) 10
22. Find the value of (10 + 2²) ÷ (16 ÷ 4) + 6
A) 9
B) 10
C) 11
D) 12
23. Compute (30 ÷ 5 + 6) × 2² - 4
A) 48
B) 36
C) 40
D) 44
24. Evaluate (100 ÷ 5) - (6 × 2) + 3²
A) 20
B) 25
C) 30
D) 35
25. What is (9² ÷ 3) + (8 - 5)²?
A) 30
B) 32
C) 36
D) 34
Complex but Manageable BODMAS
26. Solve (50 ÷ 5) + (6 × 3) - (2³ - 4)
A) 22
B) 24
C) 26
D) 28
27. Find the result of (80 ÷ 8) + (6 × 4) - 5²
A) 15
B) 10
C) 12
D) 14
28. Compute (64 ÷ 8) + (7² - 25) ÷ 2
A) 12
B) 14
C) 16
D) 18
29. Evaluate (5³ ÷ 25) + (18 ÷ 6) × 4
A) 12
B) 14
C) 16
D) 18
30. What is (90 ÷ 10) × 6 - (3² + 2)?
A) 40
B) 42
C) 44
D) 38
Answer Key
1. B (20)
2. D (6)
3. C (11)
4. C (14)
5. B (10)
6. C (26)
7. A (4)
8. C (7)
9. D (35)
10.B (46)
11.C (8)
12.D (41)
13.A (6)
14.A (5)
15.B (15)
16.C (7)
17.C (40)
18.B (10)
19.D (30)
20.B (20)
21.A (7)
22.C (11)
23.B (36)
24.B (25)
25.D (34)
26.B (24)
27.A (15)
28.B (14)
29.C (16)
30.B (42)
Multiple-Choice Word Problems
BODMAS Word Problems
1. A shopkeeper calculates the total bill for a customer as $50 + 3 × $8 - $12. What is the
final bill amount?
A) $26
B) $62
C) $62
D) $52
2. In a warehouse, there are (60 ÷ 3) × 4 - 8 cartons of goods. How many cartons are there?
A) 72
B) 64
C) 80
D) 50
3. A recipe requires (5 + 3) × 2 - 4 cups of flour. How many cups are needed?
A) 10
B) 12
C) 8
D) 6
4. A company has (45 ÷ 5) × (6 - 3) + 10 employees. How many employees are there?
A) 37
B) 28
C) 35
D) 40
5. A farmer calculates his total expenses as ($500 ÷ 10) + (30 × 2) - $25. What is his total
expense?
A) $85
B) $95
C) $75
D) $100
Probability Word Problems
6. A bag contains 5 red, 3 blue, and 2 green balls. What is the probability of drawing a red
ball?
A) 1/2
B) 3/5
C) 1/5
D) 5/10
7. A fair die is rolled. What is the probability of getting a number greater than 4?
A) 1/3
B) 1/2
C) 2/3
D) 1/6
8. A deck of 52 playing cards is shuffled. What is the probability of drawing a heart?
A) 1/2
B) 1/4
C) 1/3
D) 1/13
9. A box contains 20 marbles: 8 white, 6 black, and 6 red. If one marble is drawn at
random, what is the probability of getting a black or red marble?
A) 3/10
B) 1/2
C) 4/5
D) 3/5
10. A class has 40 students: 18 girls and 22 boys. If one student is chosen randomly, what
is the probability that it is a girl?
A) 9/20
B) 11/20
C) 1/2
D) 2/5
Percentage Change Word Problems
11. A product was originally priced at $200 but was later increased by 25%. What is the new
price?
A) $225
B) $240
C) $250
D) $275
12. The price of a phone decreased from $800 to $720. What is the percentage decrease?
A) 5%
B) 10%
C) 12.5%
D) 15%
13. A store increased the price of a $500 item by 30%. What is the new price?
A) $600
B) $650
C) $700
D) $750
14. A company had 120 employees but increased its workforce by 15%. How many
employees does it have now?
A) 130
B) 135
C) 138
D) 140
15. A laptop was initially sold for $1,200, but after a 20% discount, what is the final price?
A) $900
B) $960
C) $1,000
D) $1,020
Sequences Word Problems
16. Find the next number in the sequence: 3, 6, 12, 24, ___
A) 30
B) 36
C) 48
D) 50
17. What is the next number in the sequence 2, 5, 10, 17, 26, ___?
A) 35
B) 37
C) 39
D) 41
18. A car’s speed increases in a pattern: 20 km/h, 30 km/h, 42 km/h, 56 km/h, ___. What is
the next speed?
A) 62 km/h
B) 70 km/h
C) 72 km/h
D) 80 km/h
19. What is the missing term in the sequence 5, 9, 17, 33, ___, 129?
A) 47
B) 57
C) 65
D) 69
20. Find the missing number in the sequence 4, 9, 16, 25, ___, 49.
A) 30
B) 35
C) 36
D) 40
Mixed Word Problems
21. A train travels (60 ÷ 2) + (5 × 6) km. How far does it go?
A) 60 km
B) 75 km
C) 90 km
D) 100 km
22. The price of an item is increased from $120 to $144. What is the percentage increase?
A) 15%
B) 18%
C) 20%
D) 25%
23. If a number sequence follows 2, 6, 12, 20, 30, ___, what is the next term?
A) 36
B) 40
C) 42
D) 44
24. A box contains 15 red, 10 blue, and 5 yellow marbles. What is the probability of picking
a blue marble?
A) 1/2
B) 1/3
C) 1/4
D) 1/5
25. If the cost price of a product is $250 and the selling price is $300, what is the percentage
profit?
A) 15%
B) 20%
C) 25%
D) 30%
26. If a student scores 80 out of 100 in a test, what is the percentage score?
A) 70%
B) 75%
C) 80%
D) 85%
27. A sequence follows the pattern 4, 8, 16, 32, ___. What is the next term?
A) 40
B) 48
C) 50
D) 64
28. If a number is divided by 4, then increased by 6, the result is 20. What is the original
number?
A) 48
B) 44
C) 56
D) 64
29. A class has 30 students, out of which 12 are girls. What is the probability of picking a
boy?
A) 3/5
B) 2/5
C) 4/5
D) 1/5
30. What is the missing term in the sequence 11, 22, 33, 44, ___?
A) 50
B) 55
C) 66
D) 77
Answer Key
1. D
2. B
3. C
4. A
5. C
6. A
7. B
8. B
9. D
10.B
11.C
12.B
13.A
14.B
15.B
16.C
17.B
18.B
19.B
20.C
21.B
22.C
23.B
24.B
25.B
26.C
27.D
28.A
29.A
30.B
Multiple-Choice Word Problems
Mean (Average) Word Problems
1. The scores of five students in a test are 72, 85, 90, 88, and 95. What is their average
score?
A) 85
B) 86
C) 87
D) 88
2. The ages of five children are 5, 7, 9, 11, and 13. What is their mean age?
A) 8
B) 9
C) 10
D) 11
3. A man drives 40 km on Monday, 50 km on Tuesday, 60 km on Wednesday, and 70 km
on Thursday. What is his average distance per day?
A) 50 km
B) 55 km
C) 60 km
D) 65 km
4. A company pays five employees $3000, $3200, $2800, $3500, and $3100. What is the
mean salary?
A) $3000
B) $3100
C) $3120
D) $3200
5. The mean of five numbers is 20. If four numbers are 18, 22, 19, and 20, what is the
missing number?
A) 18
B) 19
C) 20
D) 21
Median Word Problems
6. Find the median of 7, 12, 18, 20, and 25.
A) 12
B) 18
C) 20
D) 25
7. What is the median of 45, 50, 55, 60, 65, and 70?
A) 55
B) 57.5
C) 60
D) 62.5
8. The following data set represents the number of books read by students: 2, 3, 5, 7, 9, 10,
12. Find the median.
A) 5
B) 7
C) 6
D) 9
9. The heights of six people are 150 cm, 160 cm, 165 cm, 170 cm, 175 cm, and 180 cm.
What is the median height?
A) 165 cm
B) 167.5 cm
C) 170 cm
D) 172.5 cm
10. What is the median of 4, 8, 12, 16, 20, 24, 28, 32?
A) 14
B) 16
C) 18
D) 20
Mode Word Problems
11. Find the mode in the set 3, 5, 7, 7, 9, 11, 13.
A) 5
B) 7
C) 9
D) 11
12. The test scores of a class are 78, 80, 85, 85, 90, 92, 95, 95, 95. What is the mode?
A) 85
B) 90
C) 95
D) No mode
13. The number of pets owned by families in a neighborhood are 1, 2, 2, 3, 3, 3, 4, 5, 5.
What is the mode?
A) 2
B) 3
C) 4
D) 5
14. Find the mode in the data set 10, 15, 20, 20, 25, 30, 30, 30, 35.
A) 20
B) 25
C) 30
D) No mode
15. A company records monthly sales figures: 12, 14, 16, 16, 18, 20, 20, 20, 22. What is the
mode?
A) 16
B) 18
C) 20
D) No mode
Range Word Problems
16. The highest temperature recorded in a week was 42°C, and the lowest was 28°C. What
is the temperature range?
A) 12°C
B) 14°C
C) 15°C
D) 16°C
17. Find the range of 100, 150, 200, 250, 300.
A) 150
B) 200
C) 250
D) 300
18. The range of numbers 8, 12, 18, 25, 30 is:
A) 18
B) 20
C) 22
D) 25
19. A factory recorded daily production values of 250, 275, 300, 325, 350. What is the
range?
A) 75
B) 100
C) 150
D) 200
20. The highest salary in a company is $5000, and the lowest is $2800. What is the salary
range?
A) $2000
B) $2200
C) $2300
D) $2500
Mixed Word Problems
21. The scores of students in a math quiz are 12, 15, 15, 18, 20, 22, 25. What is the mean
score?
A) 17
B) 18
C) 19
D) 20
22. The ages of a group of people are 21, 22, 24, 25, 27, 28, 30. What is the median?
A) 24
B) 25
C) 26
D) 27
23. The following numbers represent weights: 50, 55, 55, 60, 65, 70, 75, 80, 85. What is the
mode?
A) 55
B) 60
C) 65
D) 70
24. Find the range of 5, 10, 15, 20, 25, 30.
A) 20
B) 25
C) 30
D) 35
25. The test scores of students are 40, 42, 45, 48, 50. What is the mean?
A) 40
B) 42
C) 45
D) 47
26. The prices of shirts are $20, $25, $30, $30, $35, $40. What is the median price?
A) $25
B) $27.5
C) $30
D) $35
27. The daily temperature readings are 18°C, 20°C, 22°C, 24°C, 26°C. What is the mean
temperature?
A) 20°C
B) 21°C
C) 22°C
D) 24°C
28. The range of salaries in a company is $2000. If the lowest salary is $3000, what is the
highest salary?
A) $4500
B) $5000
C) $5500
D) $6000
29. The heights of people in a room are 160 cm, 162 cm, 164 cm, 165 cm, 168 cm, 170
cm, 172 cm. What is the median height?
A) 164 cm
B) 165 cm
C) 168 cm
D) 170 cm
30. The mode of 10, 12, 12, 14, 16, 18, 18, 18 is:
A) 12
B) 14
C) 16
D) 18
Answer Key
1. C
2. B
3. B
4. B
5. D
6. B
7. B
8. B
9. B
10.D
11.B
12.C
13.B
14.C
15.C
16.B
17.B
18.C
19.B
20.B
21.C
22.B
23.A
24.B
25.C
26.C
27.C
28.B
29.B
30.D
Let me know if you need explanations! 😊
