14 A teacher in a college asks her mathematics students what other subjects they are studying.
She finds that, of her 24 students:
12 study physics
8 study geography
4 study geography and physics
14
- A student is chosen at random from the class.
Determine whether the event 'the student studies physics' and the event 'the student studies geography' are independent.
14 - It is known that for the whole college:
the probability of a student studying mathematics is \(\frac { 1 } { 5 }\)
the probability of a student studying biology is \(\frac { 1 } { 6 }\)
the probability of a student studying biology given that they study mathematics is \(\frac { 3 } { 8 }\)
Calculate the probability that a student studies mathematics or biology or both.