A quiz has one mcq question with a, b and c as options. and two questions with…
2024
A quiz has one mcq question with a, b and c as options. and two questions with true/false answers. what is the probability of giving all 3 answers correct?
- A.
1/3
- B.
1/9
- C.
1/12
- D.
1/6
Attempted by 30 students.
Show answer & explanation
Correct answer: C
Answer: 1/12
Reason:
Probability of choosing the correct option in the MCQ (3 choices) = 1/3.
Probability of answering each True/False question correctly = 1/2. For two independent True/False questions the joint probability = 1/2 × 1/2 = 1/4.
Multiply the independent probabilities: (1/3) × (1/4) = 1/12.
Therefore the probability of getting all three answers correct is 1/12.