Probability Study Resources for Competitive Exams

Probability

Q. If a bag contains 4 apples and 6 oranges, what is the probability of randomly selecting an orange?

A. 2/5
B. 3/5
C. 4/5
D. 1/5

Solution

The total number of fruits is 4 + 6 = 10. The probability of selecting an orange is 6/10 = 3/5.

Correct Answer: B — 3/5

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Q. If a bag contains 4 apples and 6 oranges, what is the probability of randomly selecting an apple?

A. 2/5
B. 4/10
C. 1/3
D. 1/2

Solution

The total number of fruits is 4 + 6 = 10. The probability of selecting an apple is 4/10 = 2/5.

Correct Answer: A — 2/5

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Q. If a bag contains 4 red, 3 blue, and 5 green balls, what is the probability of drawing a green ball?

A. 1/3
B. 1/4
C. 5/12
D. 5/10

Solution

Total balls = 4 + 3 + 5 = 12. Probability of green ball = 5/12.

Correct Answer: C — 5/12

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Q. If a bag contains 4 red, 3 green, and 5 blue marbles, what is the probability of drawing a blue marble?

A. 1/3
B. 1/4
C. 5/12
D. 5/10

Solution

Total marbles = 4 + 3 + 5 = 12. Probability of blue marble = 5/12.

Correct Answer: C — 5/12

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Q. If a bag contains 5 red balls and 3 blue balls, what is the probability of drawing a red ball?

A. 1/2
B. 5/8
C. 3/8
D. 1/8

Solution

Total balls = 5 + 3 = 8. Probability of red ball = 5/8.

Correct Answer: B — 5/8

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Q. If a box contains 10 balls, 4 of which are blue, what is the probability of selecting a blue ball?

A. 2/5
B. 1/2
C. 4/10
D. 3/10

Solution

The probability of selecting a blue ball is 4/10 = 2/5.

Correct Answer: A — 2/5

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Q. If a box has 3 white, 2 black, and 5 blue balls, what is the probability of drawing a blue ball?

A. 1/2
B. 5/10
C. 5/8
D. 3/10

Solution

Total balls = 3 + 2 + 5 = 10. Probability of blue ball = 5/10 = 1/2.

Correct Answer: C — 5/8

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Q. If 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
C. 1/52
D. 1/2

Solution

There are 13 hearts in a deck of 52 cards. Probability = 13/52 = 1/4.

Correct Answer: A — 1/4

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Q. If a coin is flipped three times, what is the probability of getting exactly two heads?

A. 3/8
B. 1/2
C. 1/4
D. 1/8

Solution

The total outcomes are 2^3 = 8. The combinations for exactly 2 heads are HHT, HTH, THH, which gives us 3 favorable outcomes. So, the probability is 3/8.

Correct Answer: A — 3/8

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Q. If a coin is tossed three times, what is the probability of getting at least one head?

A. 1/8
B. 1/2
C. 7/8
D. 3/8

Solution

The probability of getting no heads (all tails) is (1/2)^3 = 1/8. Therefore, the probability of getting at least one head is 1 - 1/8 = 7/8.

Correct Answer: C — 7/8

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Q. If a coin is tossed three times, what is the probability of getting exactly two heads?

A. 3/8
B. 1/2
C. 1/4
D. 5/8

Solution

The number of ways to get exactly 2 heads in 3 tosses is 3 (HHT, HTH, THH). The total outcomes are 2^3 = 8. So, the probability is 3/8.

Correct Answer: A — 3/8

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Q. If 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 - 0.7 = 0.3.

Correct Answer: A — 0.3

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Q. If a student has a 70% chance of passing an exam, what is the probability of failing?

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. In a bag of 20 candies, 8 are chocolate. What is the probability of picking a non-chocolate candy?

A. 3/5
B. 2/5
C. 1/4
D. 1/2

Solution

Number of non-chocolate candies = 20 - 8 = 12. Probability = 12/20 = 3/5.

Correct Answer: A — 3/5

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Q. In a class of 30 students, 18 are girls. If a student is chosen at random, what is the probability that the student is a boy?

A. 1/3
B. 2/5
C. 1/2
D. 3/5

Solution

The number of boys is 30 - 18 = 12. The probability is 12/30 = 2/5.

Correct Answer: A — 1/3

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Q. In a class of 30 students, 18 are girls. If a student is selected at random, what is the probability that the student is a boy?

A. 0.4
B. 0.6
C. 0.5
D. 0.3

Solution

The number of boys is 30 - 18 = 12. The probability is 12/30 = 0.4.

Correct Answer: B — 0.6

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Q. In a class of 30 students, 18 are girls. What is the probability that a randomly selected student is a boy?

A. 3/5
B. 2/5
C. 1/2
D. 1/3

Solution

Number of boys = 30 - 18 = 12. Probability of boy = 12/30 = 2/5.

Correct Answer: B — 2/5

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Q. In a deck of 52 cards, what is the probability of drawing a heart?

A. 1/4
B. 1/13
C. 1/2
D. 3/13

Solution

Total hearts = 13. Probability of heart = 13/52 = 1/4.

Correct Answer: A — 1/4

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Q. In a lottery with 100 tickets, 10 are winning tickets. What is the probability of selecting a winning ticket?

A. 1/10
B. 1/5
C. 1/20
D. 1/2

Solution

Probability of winning ticket = 10/100 = 1/10.

Correct Answer: A — 1/10

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Q. In a lottery with 100 tickets, 10 are winning tickets. What is the probability of picking a winning ticket?

A. 1/10
B. 1/5
C. 1/20
D. 1/50

Solution

Probability of picking a winning ticket = 10/100 = 1/10.

Correct Answer: A — 1/10

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Q. In a lottery with 50 tickets, 5 are winning tickets. What is the probability of picking a winning ticket?

A. 1/10
B. 1/5
C. 1/20
D. 1/50

Solution

Probability of winning ticket = 5/50 = 1/10.

Correct Answer: B — 1/5

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Q. In a lottery, there are 10 tickets, and 3 of them are winning tickets. What is the probability of picking a winning ticket?

A. 1/10
B. 1/3
C. 3/10
D. 1/5

Solution

The probability of picking a winning ticket is 3/10.

Correct Answer: C — 3/10

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Q. In a lottery, there are 100 tickets, and 10 of them are winning tickets. What is the probability of picking a winning ticket?

A. 1/10
B. 1/5
C. 1/20
D. 1/50

Solution

The probability of picking a winning ticket is 10/100 = 1/10.

Correct Answer: B — 1/5

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Q. Two coins are tossed. What is the probability of getting at least one head?

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 head are HH, HT, TH. So, the probability is 3/4.

Correct Answer: C — 3/4

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Q. Two dice are rolled. What is the probability that the sum of the numbers on the dice is 7?

A. 1/6
B. 1/12
C. 1/36
D. 5/36

Solution

The combinations that give a sum of 7 are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). There are 6 combinations out of 36 total outcomes, so the probability is 6/36 = 1/6.

Correct Answer: D — 5/36

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Probability

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