Probability
Q. A box contains 4 white and 6 black balls. What is the probability of drawing a black ball? (2023)
-
A.
2/5
-
B.
3/5
-
C.
4/5
-
D.
1/5
Solution
Total balls = 4 + 6 = 10. Probability of black ball = 6/10 = 3/5.
Correct Answer: B — 3/5
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Q. A box contains 4 white and 6 black balls. What is the probability of picking a black ball?
-
A.
2/5
-
B.
3/5
-
C.
4/5
-
D.
1/5
Solution
Total balls = 4 + 6 = 10. Probability of black ball = 6/10 = 3/5.
Correct Answer: B — 3/5
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Q. A box contains 5 white and 3 black balls. What is the probability of drawing a black ball?
-
A.
3/8
-
B.
5/8
-
C.
1/2
-
D.
1/3
Solution
Total balls = 5 + 3 = 8. Probability of black ball = 3/8.
Correct Answer: A — 3/8
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Q. A box contains 5 white and 3 black balls. What is the probability of picking a black ball? (2021)
-
A.
3/8
-
B.
5/8
-
C.
1/2
-
D.
1/3
Solution
Total balls = 5 + 3 = 8. Probability of black ball = 3/8.
Correct Answer: A — 3/8
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Q. A card is drawn from a standard deck of 52 cards. What is the probability of drawing a heart?
-
A.
1/4
-
B.
1/13
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C.
1/2
-
D.
1/52
Solution
Number of hearts = 13. Probability = 13/52 = 1/4.
Correct Answer: A — 1/4
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Q. A jar contains 10 candies, 4 of which are chocolate. What is the probability of selecting a chocolate candy?
-
A.
2/5
-
B.
1/2
-
C.
4/10
-
D.
3/10
Solution
Probability of chocolate candy = 4/10 = 2/5.
Correct Answer: B — 1/2
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Q. A jar contains 4 green, 5 yellow, and 1 red marble. What is the probability of picking a yellow marble? (2019)
-
A.
1/10
-
B.
1/5
-
C.
1/2
-
D.
5/10
Solution
Total marbles = 4 + 5 + 1 = 10. Probability of yellow = 5/10 = 1/2.
Correct Answer: D — 5/10
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Q. A jar contains 6 green and 4 yellow marbles. What is the probability of picking a yellow marble?
-
A.
2/5
-
B.
1/2
-
C.
4/10
-
D.
3/5
Solution
Total marbles = 6 + 4 = 10. Probability of yellow marble = 4/10 = 2/5.
Correct Answer: A — 2/5
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Q. A student has a 70% chance of passing an exam. What is the probability of failing the exam?
-
A.
0.3
-
B.
0.7
-
C.
0.5
-
D.
0.2
Solution
Probability of failing = 1 - Probability of passing = 1 - 0.7 = 0.3.
Correct Answer: A — 0.3
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Q. If a bag contains 4 green and 6 yellow marbles, what is the probability of picking a green marble?
-
A.
2/5
-
B.
4/10
-
C.
4/6
-
D.
1/3
Solution
Total marbles = 4 + 6 = 10. Probability of green marble = 4/10 = 2/5.
Correct Answer: A — 2/5
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Q. If a coin is tossed twice, what is the probability of getting at least one head?
-
A.
1/4
-
B.
1/2
-
C.
3/4
-
D.
1
Solution
Total outcomes = 4 (HH, HT, TH, TT). Outcomes with at least one head = 3. Probability = 3/4.
Correct Answer: C — 3/4
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Q. If a die is rolled, what is the probability of getting an even number? (2022)
-
A.
1/2
-
B.
1/3
-
C.
1/6
-
D.
2/3
Solution
Even numbers on a die = 2, 4, 6. Probability = 3/6 = 1/2.
Correct Answer: A — 1/2
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Q. If a student guesses on a multiple-choice test with 4 options per question, what is the probability of guessing correctly?
-
A.
1/4
-
B.
1/2
-
C.
1/3
-
D.
1/5
Solution
Probability of guessing correctly = 1/4.
Correct Answer: A — 1/4
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Q. If a student guesses on a multiple-choice test with 4 options, what is the probability of guessing correctly? (2022)
-
A.
1/4
-
B.
1/2
-
C.
1/3
-
D.
1/5
Solution
Probability of guessing correctly = 1/4.
Correct Answer: A — 1/4
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Q. If a student is selected at random from a group of 20 students, 12 of whom are girls, what is the probability that the student is a girl?
-
A.
3/5
-
B.
2/5
-
C.
1/2
-
D.
1/3
Solution
Probability of selecting a girl = 12/20 = 3/5.
Correct Answer: A — 3/5
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Q. If two coins are tossed, what is the probability of getting at least one tail? (2023)
-
A.
1/4
-
B.
1/2
-
C.
3/4
-
D.
1/3
Solution
The possible outcomes are HH, HT, TH, TT. The outcomes with at least one tail are HT, TH, TT (3 outcomes). So, the probability is 3/4.
Correct Answer: C — 3/4
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Q. If two dice are rolled, what is the probability that the sum is 7?
-
A.
1/6
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B.
1/12
-
C.
1/36
-
D.
5/36
Solution
Possible combinations for sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 combinations. Total outcomes = 36. Probability = 6/36 = 1/6.
Correct Answer: D — 5/36
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Q. In a class of 30 students, 18 are girls. What is the probability of randomly selecting a boy? (2021)
-
A.
3/5
-
B.
2/5
-
C.
1/2
-
D.
1/3
Solution
Number of boys = 30 - 18 = 12. Probability = 12/30 = 2/5.
Correct Answer: B — 2/5
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Q. In a group of 50 people, 20 are smokers. What is the probability of selecting a non-smoker? (2022)
-
A.
2/5
-
B.
3/5
-
C.
1/2
-
D.
1/4
Solution
Number of non-smokers = 50 - 20 = 30. Probability = 30/50 = 3/5.
Correct Answer: B — 3/5
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Q. In a group of 50 people, 20 are smokers. What is the probability that a randomly selected person is a non-smoker? (2021)
-
A.
1/2
-
B.
3/5
-
C.
2/5
-
D.
1/5
Solution
There are 50 - 20 = 30 non-smokers. The probability is 30/50 = 3/5.
Correct Answer: B — 3/5
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Q. In a lottery, there are 10 tickets, and 2 are winning tickets. What is the probability of picking a winning ticket?
-
A.
1/5
-
B.
1/10
-
C.
1/2
-
D.
2/10
Solution
Probability = Number of winning tickets / Total tickets = 2/10 = 1/5.
Correct Answer: A — 1/5
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Q. In a lottery, there are 10 tickets, and 3 are winning tickets. What is the probability of picking a winning ticket? (2022)
-
A.
1/3
-
B.
1/4
-
C.
1/5
-
D.
1/2
Solution
Probability = Number of winning tickets / Total tickets = 3/10.
Correct Answer: A — 1/3
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Q. What is the probability of drawing a king from a standard deck of cards? (2023)
-
A.
1/13
-
B.
1/52
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C.
1/4
-
D.
1/12
Solution
Number of kings = 4. Probability = 4/52 = 1/13.
Correct Answer: A — 1/13
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Q. What is the probability of drawing a queen from a standard deck of cards?
-
A.
1/13
-
B.
1/26
-
C.
1/52
-
D.
1/4
Solution
Number of queens = 4. Probability = 4/52 = 1/13.
Correct Answer: A — 1/13
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Q. What is the probability of flipping a coin and getting heads? (2023)
-
A.
1/2
-
B.
1/3
-
C.
1/4
-
D.
1
Solution
There are 2 outcomes: heads or tails. Probability of heads = 1/2.
Correct Answer: A — 1/2
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Q. What is the probability of rolling a sum of 7 with two dice?
-
A.
1/6
-
B.
1/12
-
C.
1/36
-
D.
5/36
Solution
Possible combinations for sum of 7 = (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6. Total outcomes = 36. Probability = 6/36 = 1/6.
Correct Answer: D — 5/36
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