There are exactly 180 students at a college, and each student plays one, and only one, of the piano, the guitar, or the drums. The numbers of male and female students who play the piano, the guitar, and the drums are shown in the table below: Male: Piano 25, Guitar 44, Drums 11; Female: Piano 42, Guitar 38, Drums 20. One student from the college is selected at random.
(a)[1]
Find the probability that the selected student plays the guitar.
(b)[2]
Find the probability that the student is male, given that the student plays the drums.
(c)[2]
Decide whether the events ‘the student plays the guitar’ and ‘the student is female’ are independent, and support your decision.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Valid probability answers include $\frac{82}{180}$, $\frac{41}{90}$, or $0.456$” …