EWT | Academic Question

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Question (11)
QN009938
In probability, the outcome of tossing a coin is considered random because:
  • (A) The coin has memory
  • (B) The result can be predicted exactly
  • (C) The exact result is unpredictable
  • (D) The result is always heads

Correct Answer: C
Explanation:

Random outcomes cannot be predicted with certainty.

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Question (12)
QN009939
Which of the following is an example of experimental probability?
  • (A) Calculating chance using formulas only
  • (B) Recording outcomes after repeated trials
  • (C) Guessing without trials
  • (D) Assuming all outcomes are equal

Correct Answer: B
Explanation:

Experimental probability is obtained through repeated observations.

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Question (13)
QN009940
A survey of 80 students shows that 32 students prefer chess club. What is the probability that a randomly selected student prefers chess club?
  • (A) 2/5
  • (B) 3/5
  • (C) 1/4
  • (D) 4/5

Correct Answer: A
Explanation:

Probability = 32/80 = 2/5.

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Question (14)
QN009941
Which branch of mathematics studies randomness and likelihood?
  • (A) Algebra
  • (B) Geometry
  • (C) Statistics
  • (D) Probability

Correct Answer: D
Explanation:

Probability studies random events and likelihood.

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Question (15)
QN009942
A bag contains only yellow balls. The probability of drawing a yellow ball is:
  • (A) 0
  • (B) 1/2
  • (C) 1
  • (D) 1/4

Correct Answer: C
Explanation:

If all balls are yellow, drawing yellow is certain.

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Question (16)
QN009943
A die is rolled 90 times. If 6 appears 18 times, the experimental probability of getting 6 is:
  • (A) 1/2
  • (B) 1/3
  • (C) 1/5
  • (D) 1/6

Correct Answer: C
Explanation:

Experimental probability = 18/90 = 1/5.

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Question (17)
QN009944
Which of the following is a random experiment?
  • (A) Adding two numbers
  • (B) Measuring a pencil
  • (C) Tossing a die
  • (D) Drawing a rectangle

Correct Answer: C
Explanation:

Tossing a die produces unpredictable outcomes.

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Question (18)
QN009945
A fair coin is tossed once. Which of the following is the sample space?
  • (A) {H}
  • (B) {T}
  • (C) {H, T}
  • (D) {1, 2}

Correct Answer: C
Explanation:

A fair coin can show Head or Tail.

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Question (19)
QN009946
In a class survey, 15 out of 60 students prefer mango juice. What is the statistical probability that a student prefers mango juice?
  • (A) 1/2
  • (B) 1/3
  • (C) 1/4
  • (D) 3/4

Correct Answer: C
Explanation:

Probability = 15/60 = 1/4.

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Question (20)
QN009947
Which statement about experimental and theoretical probability is correct?
  • (A) They are always exactly equal
  • (B) Experimental probability is based on trials, while theoretical probability is based on reasoning
  • (C) Theoretical probability depends on collected data only
  • (D) Experimental probability cannot change

Correct Answer: B
Explanation:

Experimental probability uses data while theoretical probability uses logical reasoning.

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