AQA GCSE · Question 01 · Statistical Measures and Calculations
An ordinary fair dice is rolled.
Circle the probability of rolling a 4.
Answer options:
A.
1/6
B.
1/4
C.
1/2
D.
4/6
How to approach this question
Identify the total number of possible outcomes when rolling a fair dice. Then, identify the number of favourable outcomes (rolling a 4). The probability is the ratio of favourable outcomes to total outcomes.
Full Answer
A.1/6✓ Correct
A standard fair dice has six faces, with the numbers 1, 2, 3, 4, 5, and 6. Each face has an equal chance of landing up. The total number of possible outcomes is 6. We are interested in the event of rolling a 4. There is only one face with the number 4 on it. Therefore, the number of favourable outcomes is 1. The probability of an event is calculated as: P(event) = (Number of favourable outcomes) / (Total number of outcomes). So, the probability of rolling a 4 is 1/6.
Common mistakes
✗ Confusing the number on the dice (4) with the number of outcomes. Some might incorrectly choose 4/6.
✗ Choosing 1/4, perhaps thinking of a 4-sided dice or just guessing.
Expert