AQA GCSE · Question 08.2 · Statistical Measures and Calculations
One student is chosen at random. What is the probability that they go to the museum?
How to approach this question
Probability is calculated as (Number of favourable outcomes) / (Total number of outcomes).
1. The number of favourable outcomes is the number of students who went to the museum, which you found in the previous part.
2. The total number of outcomes is the total number of students.
3. Write this as a fraction.
Full Answer
From the completed Venn diagram in part (a), we found that the number of students who went to the museum is 21.
The total number of students on the trip is 100.
The probability of a randomly chosen student going to the museum is:
P(Museum) = (Number of students who went to museum) / (Total number of students)
P(Museum) = 21 / 100.
Common mistakes
✗ Using 84 as the denominator instead of 100.\n✗ Using the number for theatre (63) instead of museum (21).
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