Handling Data 3
2 marks · NormalA class of 20 students is asked if they like maths, science or both. Their responses are shown:
| Like maths only | Like science only | Like both | Like neither |
|---|---|---|---|
| 7 | 3 | 6 | 4 |
What is the probability that a student chosen at random likes maths? Give your answer as a fraction.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
13/20
Must show: Likes maths only + likes both over total
Also accept: 0.65
Common mistakes: Not including both in maths total
Show mark scheme and worked solution
Marking points
M1 · 1 mark · Identifies sum of 'maths only' and 'both'.
A1 · 1 mark · Correctly writes answer as 13/20 or 0.65.
Worked solution
Likes maths: 7 (maths only) + 6 (both) = 13
Probability is 13/20