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Question (21)

QN009948

A coin is tossed 100 times and tails occurs 47 times. What is the experimental probability of tails?

(A) 47/100
(B) 53/100
(C) 1/2
(D) 47/53

Correct Answer: A

Explanation:

Experimental probability = 47/100.

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Question (22)

QN009949

Theoretical probability of drawing a red card from a pack of 52 playing cards is:

(A) 1/4
(B) 1/2
(C) 1/13
(D) 2/3

Correct Answer: B

Explanation:

There are 26 red cards in a deck of 52 cards.

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Question (23)

QN009950

If a fair die is rolled, which event is less likely?

(A) Getting a number less than 7
(B) Getting an even number
(C) Getting the number 1
(D) Getting a number from 1 to 6

Correct Answer: C

Explanation:

Probability of getting 1 is only 1/6.

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Question (24)

QN009951

A sample of 50 sweets contains 10 green sweets. If there are 500 sweets in total, about how many green sweets are expected?

(A) 50
(B) 100
(C) 150
(D) 200

Correct Answer: B

Explanation:

Expected green sweets = (10/50) × 500 = 100.

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Question (25)

QN009952

The probability obtained from collected survey data is called:

(A) Experimental probability
(B) Geometrical probability
(C) Impossible probability
(D) Biased probability

Correct Answer: A

Explanation:

Experimental probability is based on collected observations.

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Question (26)

QN009953

A fair die is rolled. What is the theoretical probability of getting an odd number?

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

Correct Answer: C

Explanation:

Odd numbers are 1, 3 and 5. Probability = 3/6 = 1/2.

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Question (27)

QN009954

Which of the following best explains the Law of Large Numbers?

(A) Experimental probability becomes closer to theoretical probability as trials increase
(B) Probability decreases with more trials
(C) All events become certain after many trials
(D) Randomness disappears completely

Correct Answer: A

Explanation:

More trials make experimental results closer to theoretical values.

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Question (28)

QN009955

In a school survey of 200 students, 50 students prefer badminton. What is the probability that a randomly selected student prefers badminton?

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

Correct Answer: B

Explanation:

Probability = 50/200 = 1/4.

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Question (29)

QN009956

If a die is rolled and all outcomes are equally likely, the probability of getting a number greater than 3 is:

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

Correct Answer: C

Explanation:

Numbers greater than 3 are 4, 5 and 6. Probability = 3/6 = 1/2.

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Question (30)

QN009957

A scientist records rainfall data over many years to estimate the chance of rain in a city. This is an example of:

(A) Impossible event
(B) Theoretical probability only
(C) Statistical analysis using probability
(D) Biased experimentation

Correct Answer: C

Explanation:

Statistical probability uses collected data to estimate likelihood.

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Question (21)

A coin is tossed 100 times and tails occurs 47 times. What is the experimental probability of tails?

Explanation:

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Question (22)

Theoretical probability of drawing a red card from a pack of 52 playing cards is:

Explanation:

Link:

Question (23)

If a fair die is rolled, which event is less likely?

Explanation:

Link:

Question (24)

A sample of 50 sweets contains 10 green sweets. If there are 500 sweets in total, about how many green sweets are expected?

Explanation:

Link:

Question (25)

The probability obtained from collected survey data is called:

Explanation:

Link:

Question (26)

A fair die is rolled. What is the theoretical probability of getting an odd number?

Explanation:

Link:

Question (27)

Which of the following best explains the Law of Large Numbers?

Explanation:

Link:

Question (28)

In a school survey of 200 students, 50 students prefer badminton. What is the probability that a randomly selected student prefers badminton?

Explanation:

Link:

Question (29)

If a die is rolled and all outcomes are equally likely, the probability of getting a number greater than 3 is:

Explanation:

Link:

Question (30)

A scientist records rainfall data over many years to estimate the chance of rain in a city. This is an example of:

Explanation:

Link:

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