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Question (21)

QN0010018

Which of the following experiments has 8 outcomes in its tree diagram?

(A) Tossing one coin
(B) Rolling one die
(C) Tossing three coins
(D) Tossing two coins

Correct Answer: C

Explanation:

Tossing three coins gives 8 outcomes.

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Question (22)

QN0010019

A tree diagram is especially useful for:

(A) Finding algebraic identities
(B) Listing outcomes step by step
(C) Drawing triangles
(D) Measuring temperature

Correct Answer: B

Explanation:

Tree diagrams help list outcomes sequentially.

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Question (23)

QN0010020

If a coin is tossed and a card numbered 1 to 4 is selected, what is the probability of getting a head and an even number?

(A) 1/8
(B) 1/4
(C) 1/2
(D) 3/4

Correct Answer: B

Explanation:

Favourable outcomes are H2 and H4 out of 8 outcomes.

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Question (24)

QN0010021

Which branch pair in a two-coin tree diagram represents two different outcomes?

(A) HH and HH
(B) TT and TT
(C) HT and TH
(D) H and H

Correct Answer: C

Explanation:

HT and TH are distinct outcomes.

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Question (25)

QN0010022

A menu offers 2 soups and 4 snacks. How many meal combinations are possible?

(A) 4
(B) 6
(C) 8
(D) 10

Correct Answer: C

Explanation:

Total combinations = 2 × 4 = 8.

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Question (26)

QN0010023

Which statement about tree diagrams is correct?

(A) They show only favourable outcomes
(B) They may miss some outcomes
(C) They display all possible outcomes clearly
(D) They are used only in geometry

Correct Answer: C

Explanation:

Tree diagrams systematically show all possible outcomes.

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Question (27)

QN0010024

If a fair die is rolled twice, how many branches emerge after the second stage in a tree diagram?

(A) 6
(B) 12
(C) 24
(D) 36

Correct Answer: D

Explanation:

Rolling two dice gives 6 × 6 = 36 outcomes.

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Question (28)

QN0010025

Which of the following outcomes belongs to the tree diagram for tossing three coins?

(A) HHT
(B) 23
(C) HTHT
(D) 7

Correct Answer: A

Explanation:

HHT is a valid outcome for three coin tosses.

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Question (29)

QN0010026

A student chooses one of 3 pens and one of 2 notebooks. What is the probability of selecting a particular pen and notebook combination?

(A) 1/2
(B) 1/3
(C) 1/5
(D) 1/6

Correct Answer: D

Explanation:

Total combinations = 3 × 2 = 6, so probability = 1/6.

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Question (30)

QN0010027

Tree diagrams are most helpful in probability because they:

(A) Eliminate uncertainty completely
(B) Arrange outcomes in an organised branching structure
(C) Guarantee favourable results
(D) Replace experiments entirely

Correct Answer: B

Explanation:

Tree diagrams organise all possible outcomes clearly using branches.

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Question (21)

Which of the following experiments has 8 outcomes in its tree diagram?

Explanation:

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Question (22)

A tree diagram is especially useful for:

Explanation:

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Question (23)

If a coin is tossed and a card numbered 1 to 4 is selected, what is the probability of getting a head and an even number?

Explanation:

Link:

Question (24)

Which branch pair in a two-coin tree diagram represents two different outcomes?

Explanation:

Link:

Question (25)

A menu offers 2 soups and 4 snacks. How many meal combinations are possible?

Explanation:

Link:

Question (26)

Which statement about tree diagrams is correct?

Explanation:

Link:

Question (27)

If a fair die is rolled twice, how many branches emerge after the second stage in a tree diagram?

Explanation:

Link:

Question (28)

Which of the following outcomes belongs to the tree diagram for tossing three coins?

Explanation:

Link:

Question (29)

A student chooses one of 3 pens and one of 2 notebooks. What is the probability of selecting a particular pen and notebook combination?

Explanation:

Link:

Question (30)

Tree diagrams are most helpful in probability because they:

Explanation:

Link:

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