Unit 9 · Class 8 IB MYP · MCQ Test

Probability (Theoretical) MCQ Test — Class 8 IB MYP

Practice 10 multiple-choice questions with instant answer reveal and explanations.

Probability (Theoretical) — MCQ Questions

1What is the probability of getting heads when flipping a fair coin?

A.0
B.\(\frac{1}{4}\)
C.\(\frac{1}{2}\)
D.1
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Answer: \(\frac{1}{2}\)

Hint: Two equally likely outcomes.

Solution:

P(heads) = 1/2.

2A die is rolled. What is P(getting a 3)?

A.\(\frac{1}{2}\)
B.\(\frac{1}{3}\)
C.\(\frac{1}{6}\)
D.\(\frac{1}{4}\)
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Answer: \(\frac{1}{6}\)

Hint: 6 equally likely outcomes.

Solution:

P(3) = 1/6.

3An event that is certain has probability:

A.0
B.\(\frac{1}{2}\)
C.1
D.2
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Answer: 1

Hint: Certain = guaranteed.

Solution:

P(certain event) = 1.

4An impossible event has probability:

A.0
B.\(\frac{1}{2}\)
C.1
D.-1
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Answer: 0

Hint: Can never happen.

Solution:

P(impossible) = 0.

5A bag has 3 red and 7 blue marbles. P(red) = ?

A.\(\frac{3}{7}\)
B.\(\frac{3}{10}\)
C.\(\frac{7}{10}\)
D.\(\frac{1}{3}\)
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Answer: \(\frac{3}{10}\)

Hint: P = favourable/total.

Solution:

P(red) = 3/10.

6Probability always lies between:

A.-1 and 1
B.0 and 1
C.0 and 100
D.1 and 10
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Answer: 0 and 1

Hint: Inclusive of 0 and 1.

Solution:

0 ≤ P(E) ≤ 1.

7What is the sample space when rolling a die?

A.{1,2,3}
B.{1,2,3,4,5,6}
C.{1,6}
D.{even, odd}
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Answer: {1,2,3,4,5,6}

Hint: List all possible outcomes.

Solution:

S = {1, 2, 3, 4, 5, 6}.

8P(rolling an even number on a die) = ?

A.\(\frac{1}{6}\)
B.\(\frac{1}{3}\)
C.\(\frac{1}{2}\)
D.\(\frac{2}{3}\)
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Answer: \(\frac{1}{2}\)

Hint: Even numbers: 2, 4, 6.

Solution:

P(even) = 3/6 = 1/2.

9If P(rain) = 0.3, P(no rain) = ?

A.0.3
B.0.5
C.0.7
D.1
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Answer: 0.7

Hint: Complementary events sum to 1.

Solution:

P(no rain) = 1 - 0.3 = 0.7.

10A spinner has 4 equal sections: red, blue, green, yellow. P(green) = ?

A.\(\frac{1}{2}\)
B.\(\frac{1}{3}\)
C.\(\frac{1}{4}\)
D.\(\frac{1}{5}\)
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Answer: \(\frac{1}{4}\)

Hint: 4 equally likely outcomes.

Solution:

P(green) = 1/4.

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Tips for Probability (Theoretical) MCQs

  • 1Read each question carefully and identify what is being asked before looking at the options.
  • 2Try to solve the problem mentally or on paper first, then match your answer with the options.
  • 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
  • 4Check units, signs, and edge cases — these are common traps in Probability (Theoretical) MCQs.
  • 5Review your mistakes after completing the test to build lasting understanding.

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