EWT | Academic Question

Questions
Question (1)
QN009928
Experimental probability is calculated using:
  • (A) Future predictions
  • (B) Number of favourable outcomes only
  • (C) Actual observations from trials
  • (D) Assumptions without data

Correct Answer: C
Explanation:

Experimental probability is based on actual observations from repeated trials.

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Question (2)
QN009929
The formula for experimental probability is:
  • (A) Favourable outcomes × Total outcomes
  • (B) Number of trials ÷ Event occurrences
  • (C) Event occurrences ÷ Total trials
  • (D) Total outcomes ÷ Favourable outcomes

Correct Answer: C
Explanation:

Experimental probability = Number of times the event occurred ÷ Total number of trials.

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Question (3)
QN009930
A die is rolled 40 times and the number 5 appears 6 times. What is the experimental probability of getting 5?
  • (A) 3/20
  • (B) 5/40
  • (C) 1/5
  • (D) 6/5

Correct Answer: A
Explanation:

Experimental probability = 6/40 = 3/20.

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Question (4)
QN009931
Which of the following is based on equally likely outcomes?
  • (A) Experimental probability
  • (B) Statistical survey
  • (C) Theoretical probability
  • (D) Sampling

Correct Answer: C
Explanation:

Theoretical probability assumes all outcomes are equally likely.

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Question (5)
QN009932
A fair coin is tossed 50 times and heads appears 28 times. What is the relative frequency of heads?
  • (A) 14/25
  • (B) 11/25
  • (C) 7/25
  • (D) 28/50

Correct Answer: A
Explanation:

Relative frequency = 28/50 = 14/25.

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Question (6)
QN009933
The set of all possible outcomes of an experiment is called:
  • (A) Event
  • (B) Probability
  • (C) Sample space
  • (D) Frequency table

Correct Answer: C
Explanation:

Sample space contains all possible outcomes.

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Question (7)
QN009934
A standard die is rolled once. The theoretical probability of getting 2 is:
  • (A) 1/2
  • (B) 1/3
  • (C) 1/6
  • (D) 2/3

Correct Answer: C
Explanation:

Only one favourable outcome exists out of 6 possible outcomes.

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Question (8)
QN009935
Which statement correctly defines theoretical probability?
  • (A) It is based on survey reports only
  • (B) It is based on equally likely outcomes without experimentation
  • (C) It depends only on past records
  • (D) It changes after every trial

Correct Answer: B
Explanation:

Theoretical probability is determined without conducting experiments.

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Question (9)
QN009936
A letter is selected randomly from the word “PROBABILITY”. What is the probability of selecting B?
  • (A) 1/11
  • (B) 2/11
  • (C) 3/11
  • (D) 1/5

Correct Answer: B
Explanation:

There are 2 Bs among 11 letters.

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Question (10)
QN009937
A die is rolled 24 times and the number 3 appears 5 times. What is the experimental probability of getting 3?
  • (A) 5/24
  • (B) 3/24
  • (C) 1/6
  • (D) 19/24

Correct Answer: A
Explanation:

Experimental probability = 5/24.

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