EWT | Academic Question

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Question (11)
QN009908
The set of all possible outcomes of a random experiment is called:
  • (A) Event
  • (B) Trial
  • (C) Sample space
  • (D) Frequency

Correct Answer: C
Explanation:

Sample space contains all possible outcomes.

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Question (12)
QN009909
A letter is chosen randomly from the word “MANGO”. What is the probability of selecting the letter M?
  • (A) 1/4
  • (B) 1/5
  • (C) 2/5
  • (D) 1

Correct Answer: B
Explanation:

The word MANGO has 5 letters and only one M.

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Question (13)
QN009910
Which of the following has equally likely outcomes?
  • (A) Picking a marble from a bag with 9 red and 1 blue marble
  • (B) Tossing a fair coin
  • (C) Rain tomorrow
  • (D) A biased die

Correct Answer: B
Explanation:

In a fair coin toss, both outcomes are equally likely.

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Question (14)
QN009911
A card numbered from 1 to 10 is drawn randomly. What is the probability of getting an even number?
  • (A) 1/10
  • (B) 2/5
  • (C) 1/2
  • (D) 3/5

Correct Answer: C
Explanation:

Even numbers are 2, 4, 6, 8, 10. Probability = 5/10 = 1/2.

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Question (15)
QN009912
A spinner has numbers 1 to 8 marked equally. What is the probability of getting a multiple of 4?
  • (A) 1/8
  • (B) 1/4
  • (C) 3/8
  • (D) 1/2

Correct Answer: B
Explanation:

Multiples of 4 are 4 and 8. Probability = 2/8 = 1/4.

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Question (16)
QN009913
In a survey of 100 students, 40 liked football. The probability that a randomly selected student likes football is estimated as:
  • (A) 0.2
  • (B) 0.4
  • (C) 0.5
  • (D) 0.8

Correct Answer: B
Explanation:

Probability = 40/100 = 0.4.

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Question (17)
QN009914
Which statement is correct regarding Gambler’s Fallacy?
  • (A) Previous outcomes affect future outcomes in coin tosses
  • (B) A coin remembers earlier tosses
  • (C) Each toss of a fair coin is independent
  • (D) Tails must appear after many heads

Correct Answer: C
Explanation:

Every coin toss is independent of previous tosses.

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Question (18)
QN009915
A fair coin is tossed three times. What is the probability of getting all heads?
  • (A) 1/2
  • (B) 1/4
  • (C) 1/8
  • (D) 3/8

Correct Answer: C
Explanation:

Total outcomes = 8 and only HHH is favourable.

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Question (19)
QN009916
Which of the following events is impossible?
  • (A) Rolling a number less than 7 on a die
  • (B) Getting a tail on a coin toss
  • (C) Drawing a king from a pack of cards
  • (D) Rolling a 9 on a standard die

Correct Answer: D
Explanation:

A standard die contains only numbers 1 to 6.

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Question (20)
QN009917
A bag contains 4 red, 3 yellow, and 3 white balls. One ball is drawn randomly. What is the probability that the ball drawn is not red?
  • (A) 2/5
  • (B) 3/5
  • (C) 1/5
  • (D) 4/5

Correct Answer: B
Explanation:

Non-red balls = 6 out of total 10. Probability = 6/10 = 3/5.

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