EWT | Academic Question

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Question (11)
QN0010008
A tree diagram for three coin tosses will have how many final outcomes?
  • (A) 6
  • (B) 8
  • (C) 10
  • (D) 12

Correct Answer: B
Explanation:

Three coin tosses produce 2 × 2 × 2 = 8 outcomes.

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Question (12)
QN0010009
If a coin is tossed twice, what is the probability of getting exactly one tail?
  • (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 (13)
QN0010010
In a tree diagram, outcomes are usually shown:
  • (A) In circular form
  • (B) Along branches
  • (C) In bar form
  • (D) In tabular form only

Correct Answer: B
Explanation:

Outcomes are represented along the branches.

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Question (14)
QN0010011
A bag contains one red and one blue ball. One ball is chosen. How many branches will the tree diagram have from the starting point?
  • (A) 1
  • (B) 2
  • (C) 3
  • (D) 4

Correct Answer: B
Explanation:

There are two possible selections: red or blue.

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Question (15)
QN0010012
Two dice are rolled together. How many outcomes can be represented in a tree diagram?
  • (A) 12
  • (B) 18
  • (C) 24
  • (D) 36

Correct Answer: D
Explanation:

Total outcomes = 6 × 6 = 36.

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Question (16)
QN0010013
Which event is represented by the outcomes HT and TH in a two-coin tree diagram?
  • (A) No heads
  • (B) Exactly one head
  • (C) Two heads
  • (D) Two tails

Correct Answer: B
Explanation:

HT and TH each contain exactly one head.

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Question (17)
QN0010014
A tree diagram for selecting breakfast and drink combinations is useful because it:
  • (A) Reduces outcomes
  • (B) Organises combinations systematically
  • (C) Measures quantities
  • (D) Predicts exact results

Correct Answer: B
Explanation:

Tree diagrams arrange all combinations clearly.

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Question (18)
QN0010015
If a spinner has 3 equal sectors and a coin is tossed once, how many total outcomes are possible?
  • (A) 3
  • (B) 5
  • (C) 6
  • (D) 8

Correct Answer: C
Explanation:

Total outcomes = 3 × 2 = 6.

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Question (19)
QN0010016
Which of the following is not required to make a tree diagram?
  • (A) Possible outcomes
  • (B) Sequential stages
  • (C) Random guesses only
  • (D) Branch representation

Correct Answer: C
Explanation:

Tree diagrams are based on actual possible outcomes, not guesses.

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Question (20)
QN0010017
A student chooses one of 2 shirts and one of 3 trousers. How many combinations can be shown using a tree diagram?
  • (A) 3
  • (B) 5
  • (C) 6
  • (D) 9

Correct Answer: C
Explanation:

Total combinations = 2 × 3 = 6.

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