EWT | Academic Question

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Question (11)
QN0026636
Two coins are tossed. What is the probability of getting at least one tail?
  • (A) 1/4
  • (B) 1/2
  • (C) 3/4
  • (D) 1

Correct Answer: C
Explanation:

Outcomes with at least one tail are HT, TH and TT. Probability = 3/4.

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Question (12)
QN0026637
A card numbered from 1 to 10 is selected randomly. What is the probability of selecting a multiple of 3?
  • (A) 1/10
  • (B) 2/10
  • (C) 3/10
  • (D) 4/10

Correct Answer: C
Explanation:

Multiples of 3 are 3, 6 and 9. Probability = 3/10.

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Question (13)
QN0026638
Which of the following best describes a sample space?
  • (A) Collection of favourable outcomes only
  • (B) List of impossible events
  • (C) Set of all possible outcomes
  • (D) Record of observations only

Correct Answer: C
Explanation:

A sample space includes every possible outcome of an experiment.

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Question (14)
QN0026639
A die is rolled twice. How many outcomes are possible?
  • (A) 12
  • (B) 24
  • (C) 36
  • (D) 48

Correct Answer: C
Explanation:

Total outcomes = 6 × 6 = 36.

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Question (15)
QN0026640
A letter is selected randomly from the word “SCIENCE”. What is the probability of selecting the letter C?
  • (A) 1/7
  • (B) 2/7
  • (C) 3/7
  • (D) 1/2

Correct Answer: B
Explanation:

The word SCIENCE has 7 letters and C appears twice.

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Question (16)
QN0026641
Which of the following events is certain when a standard die is rolled?
  • (A) Getting an even number
  • (B) Getting a prime number
  • (C) Getting a number less than 7
  • (D) Getting the number 3

Correct Answer: C
Explanation:

Every outcome on a standard die is less than 7.

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Question (17)
QN0026642
A tree diagram is most useful for:
  • (A) Measuring distances
  • (B) Listing outcomes systematically
  • (C) Solving equations
  • (D) Drawing maps

Correct Answer: B
Explanation:

Tree diagrams help organise all possible outcomes clearly.

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Question (18)
QN0026643
Three coins are tossed together. What is the probability of getting exactly three tails?
  • (A) 1/8
  • (B) 1/4
  • (C) 3/8
  • (D) 1/2

Correct Answer: A
Explanation:

Only TTT is favourable out of 8 outcomes.

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Question (19)
QN0026644
A survey shows that 36 out of 90 students prefer football. What is the probability that a randomly selected student prefers football?
  • (A) 2/5
  • (B) 3/5
  • (C) 4/5
  • (D) 1/5

Correct Answer: A
Explanation:

Probability = 36/90 = 2/5.

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Question (20)
QN0026645
A box contains slips numbered from 1 to 12. What is the probability of drawing a number divisible by both 2 and 3?
  • (A) 1/12
  • (B) 1/6
  • (C) 1/4
  • (D) 1/3

Correct Answer: B
Explanation:

Numbers divisible by both 2 and 3 are 6 and 12. Probability = 2/12 = 1/6.

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