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Question (1)

QN0026626

A coin is tossed three times. What is the probability of getting exactly two heads?

(A) 1/8
(B) 3/8
(C) 1/2
(D) 5/8

Correct Answer: B

Explanation:

Outcomes with exactly two heads are HHT, HTH and THH. Probability = 3/8.

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Question (2)

QN0026627

Which of the following experiments has the largest sample space?

(A) Tossing one coin
(B) Rolling one die
(C) Tossing two coins
(D) Rolling two dice

Correct Answer: D

Explanation:

Rolling two dice gives 36 possible outcomes.

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Question (3)

QN0026628

A die is rolled once. What is the probability of getting a number which is both even and greater than 3?

(A) 1/6
(B) 1/3
(C) 1/2
(D) 2/3

Correct Answer: B

Explanation:

Numbers satisfying the condition are 4 and 6. Probability = 2/6 = 1/3.

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Question (4)

QN0026629

Experimental probability is based on:

(A) Assumptions only
(B) Actual observations from trials
(C) Guesswork
(D) Algebraic identities

Correct Answer: B

Explanation:

Experimental probability uses results obtained from repeated trials.

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Question (5)

QN0026630

A spinner has sectors numbered 1 to 5. What is the probability of getting a prime number?

(A) 1/5
(B) 2/5
(C) 3/5
(D) 4/5

Correct Answer: C

Explanation:

Prime numbers are 2, 3 and 5. Probability = 3/5.

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Question (6)

QN0026631

The sample space for tossing a coin and rolling a die together contains:

(A) 6 outcomes
(B) 8 outcomes
(C) 10 outcomes
(D) 12 outcomes

Correct Answer: D

Explanation:

Total outcomes = 2 × 6 = 12.

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Question (7)

QN0026632

A bag contains 4 red balls, 3 blue balls and 5 green balls. What is the probability of selecting a blue ball?

(A) 1/4
(B) 1/3
(C) 1/2
(D) 3/4

Correct Answer: A

Explanation:

Total balls = 12. Probability = 3/12 = 1/4.

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Question (8)

QN0026633

Which of the following is an impossible event?

(A) Getting 5 on a die
(B) Getting an odd number on a die
(C) Getting 9 on a standard die
(D) Getting a head on a coin toss

Correct Answer: C

Explanation:

A standard die contains numbers from 1 to 6 only.

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Question (9)

QN0026634

A coin was tossed 80 times and heads appeared 44 times. What is the experimental probability of getting heads?

(A) 11/20
(B) 9/20
(C) 1/2
(D) 4/5

Correct Answer: A

Explanation:

Experimental probability = 44/80 = 11/20.

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Question (10)

QN0026635

Which branch of mathematics deals with chance and uncertainty?

(A) Geometry
(B) Mensuration
(C) Probability
(D) Algebra

Correct Answer: C

Explanation:

Probability studies random events and uncertainty.

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Question (1)

A coin is tossed three times. What is the probability of getting exactly two heads?

Explanation:

Link:

Question (2)

Which of the following experiments has the largest sample space?

Explanation:

Link:

Question (3)

A die is rolled once. What is the probability of getting a number which is both even and greater than 3?

Explanation:

Link:

Question (4)

Experimental probability is based on:

Explanation:

Link:

Question (5)

A spinner has sectors numbered 1 to 5. What is the probability of getting a prime number?

Explanation:

Link:

Question (6)

The sample space for tossing a coin and rolling a die together contains:

Explanation:

Link:

Question (7)

A bag contains 4 red balls, 3 blue balls and 5 green balls. What is the probability of selecting a blue ball?

Explanation:

Link:

Question (8)

Which of the following is an impossible event?

Explanation:

Link:

Question (9)

A coin was tossed 80 times and heads appeared 44 times. What is the experimental probability of getting heads?

Explanation:

Link:

Question (10)

Which branch of mathematics deals with chance and uncertainty?

Explanation:

Link:

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