For the students at a college, the event L L\,L is defined as the student cycles to college, and the event M M\,M is defined as the student is in Year 12.
For a student chosen at random,
P(L∩M)=0.24P(L \cap M) = 0.24P(L∩M)=0.24, P(L∩M′)=0.16P(L \cap M') = 0.16P(L∩M′)=0.16, P(L′∩M)=0.36P(L' \cap M) = 0.36P(L′∩M)=0.36, P(L′∩M′)=0.24P(L' \cap M') = 0.24P(L′∩M′)=0.24
Find P(L)P(L)P(L).
Find P(M)P(M)P(M).
Find P(L∣M)P(L\mid M)P(L∣M).