EWT | Academic Question

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Question (11)
QN009968
A coin and a die are tossed together. How many outcomes are possible?
  • (A) 6
  • (B) 8
  • (C) 10
  • (D) 12

Correct Answer: D
Explanation:

Total outcomes = 2 × 6 = 12.

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Question (12)
QN009969
Which of the following is not a valid sample space for tossing one coin?
  • (A) {H, T}
  • (B) {Head, Tail}
  • (C) {H}
  • (D) {Heads, Tails}

Correct Answer: C
Explanation:

A coin toss must include both Head and Tail.

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Question (13)
QN009970
A fair die is rolled once. What is the event of getting a prime number?
  • (A) {1, 2, 3}
  • (B) {2, 3, 5}
  • (C) {1, 5}
  • (D) {2, 4, 6}

Correct Answer: B
Explanation:

Prime numbers on a die are 2, 3 and 5.

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Question (14)
QN009971
The sample space for choosing a traffic light colour is:
  • (A) {Red, Green, Yellow}
  • (B) {Blue, White}
  • (C) {Red Only}
  • (D) {Bright, Dark}

Correct Answer: A
Explanation:

Traffic lights use red, yellow and green colours.

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Question (15)
QN009972
If two coins are tossed, what is the probability of getting exactly one head?
  • (A) 1/4
  • (B) 1/2
  • (C) 3/4
  • (D) 1

Correct Answer: B
Explanation:

Favourable outcomes are HT and TH out of 4 outcomes.

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Question (16)
QN009973
Which of the following outcomes belongs to the sample space of tossing two coins?
  • (A) HTH
  • (B) TT
  • (C) 3
  • (D) TTT

Correct Answer: B
Explanation:

TT is one of the valid outcomes of tossing two coins.

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Question (17)
QN009974
A bag contains apples, bananas and oranges. Which event represents selecting a yellow fruit?
  • (A) {Apple}
  • (B) {Orange}
  • (C) {Banana}
  • (D) {Apple, Orange}

Correct Answer: C
Explanation:

Banana is the yellow fruit among the given options.

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Question (18)
QN009975
The sample space for rolling a standard die is:
  • (A) {0, 1, 2, 3, 4, 5}
  • (B) {1, 2, 3, 4, 5, 6}
  • (C) {2, 4, 6}
  • (D) {Odd, Even}

Correct Answer: B
Explanation:

A standard die has outcomes from 1 to 6.

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Question (19)
QN009976
If a card numbered from 1 to 5 is drawn randomly, what is the event of getting a number less than 4?
  • (A) {1, 2, 3}
  • (B) {4, 5}
  • (C) {2, 4}
  • (D) {1, 5}

Correct Answer: A
Explanation:

Numbers less than 4 are 1, 2 and 3.

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Question (20)
QN009977
Which statement about sample spaces is correct?
  • (A) Outcomes may repeat
  • (B) Some outcomes may be omitted
  • (C) Every possible outcome must be included once
  • (D) Sample spaces contain only one outcome

Correct Answer: C
Explanation:

A sample space must contain all possible distinct outcomes.

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