Mathematics 9709/52 — October/November 2021
Cambridge A-Level · Probability & Statistics 1 · worked solutions for every part, with the mark scheme
Topics Probability · Permutations and Combinations · Discrete Random Variables · The Normal Distribution · Representation of Data
Each of the 180 students at a college plays exactly one of the piano, the guitar and the drums. The numbers of male and female students who play the piano, the guitar and the drums are given in the following table.
| Piano | Guitar | Drums | |
|---|---|---|---|
| Male | 25 | 44 | 11 |
| Female | 42 | 38 | 20 |
A student at the college is chosen at random.
Find the probability that the student plays the guitar.
Find the probability that the student is male given that the student plays the drums.
Determine whether the events 'the student plays the guitar' and 'the student is female' are independent, justifying your answer.
The rest of this paper
6 more questions- Q2Permutations and Combinations5M
- Q3Probability · Discrete Random Variables7M
- Q4Permutations and Combinations6M
- Q5Discrete Random Variables7M
- Q6The Normal Distribution10M
- Q7Representation of Data10M