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Question (1)

QN0037121

If an experiment has equally likely outcomes, the theoretical probability of an event E is given by:

(A) Number of all outcomes / Number of favourable outcomes
(B) Number of favourable outcomes / Number of all possible outcomes
(C) Number of favourable outcomes × Number of all outcomes
(D) Number of all outcomes − Number of favourable outcomes

Correct Answer: B

Explanation:

P(E) = Number of favourable outcomes / Number of all possible outcomes.

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Question (2)

QN0037122

An event having only one possible outcome is called:

(A) Complementary event
(B) Impossible event
(C) Elementary event
(D) Sure event

Correct Answer: C

Explanation:

An event having only one outcome is an elementary event.

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Question (3)

QN0037123

The probability of a sure event is:

(A) 0
(B) 1/2
(C) 1
(D) Greater than 1

Correct Answer: C

Explanation:

A sure event always occurs, so its probability is 1.

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Question (4)

QN0037124

The probability of an impossible event is:

(A) 0
(B) 1
(C) 1/2
(D) −1

Correct Answer: A

Explanation:

An impossible event has no favourable outcome, so its probability is 0.

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Question (5)

QN0037125

If P(E) = 0.37, what is P(not E)?

(A) 0.37
(B) 0.63
(C) 1.37
(D) 0.27

Correct Answer: B

Explanation:

P(not E) = 1 − P(E) = 1 − 0.37 = 0.63.

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Question (6)

QN0037126

Which of the following can represent the probability of an event?

(A) −0.25
(B) 1.25
(C) 0.72
(D) −2

Correct Answer: C

Explanation:

Probability always lies between 0 and 1.

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Question (7)

QN0037127

In a fair die experiment, the six outcomes are called equally likely because:

(A) They have different chances of occurring
(B) Each outcome has the same chance of occurring
(C) Only even outcomes can occur
(D) Only one outcome can occur

Correct Answer: B

Explanation:

In a fair die, every face has the same probability of appearing.

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Question (8)

QN0037128

A fair die is thrown once. What is the probability of getting a number greater than 4?

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

Correct Answer: B

Explanation:

Favourable outcomes are 5 and 6. Thus P = 2/6 = 1/3.

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Question (9)

QN0037129

A fair die is thrown once. What is the probability of getting a number less than or equal to 4?

(A) 1/3
(B) 1/2
(C) 2/3
(D) 5/6

Correct Answer: C

Explanation:

Outcomes are 1, 2, 3 and 4. Thus P = 4/6 = 2/3.

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Question (10)

QN0037130

A bag contains 5 red balls and 3 blue balls. One ball is drawn at random. What is the probability of getting a blue ball?

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

Correct Answer: A

Explanation:

Total balls = 8 and blue balls = 3. P(blue) = 3/8.

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Question (1)

If an experiment has equally likely outcomes, the theoretical probability of an event E is given by:

Explanation:

Link:

Question (2)

An event having only one possible outcome is called:

Explanation:

Link:

Question (3)

The probability of a sure event is:

Explanation:

Link:

Question (4)

The probability of an impossible event is:

Explanation:

Link:

Question (5)

If P(E) = 0.37, what is P(not E)?

Explanation:

Link:

Question (6)

Which of the following can represent the probability of an event?

Explanation:

Link:

Question (7)

In a fair die experiment, the six outcomes are called equally likely because:

Explanation:

Link:

Question (8)

A fair die is thrown once. What is the probability of getting a number greater than 4?

Explanation:

Link:

Question (9)

A fair die is thrown once. What is the probability of getting a number less than or equal to 4?

Explanation:

Link:

Question (10)

A bag contains 5 red balls and 3 blue balls. One ball is drawn at random. What is the probability of getting a blue ball?

Explanation:

Link:

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