Question

~.~.~. i will give medal .~.~.~
In a servey, 100 students are asked if they like basketball (B), Football (F) and swimming (S). The venn shows the results.

42 students like swimming

40 students like exactly one sport.

(a) Find the values of p, q and r.

(b) How many students like

(i) all three sports

(ii) basketball and swimming but not football?

(c) Find

(i) n(B')

(ii) n(B U F) n S')

(d) one student is chosen at random from 100 students. Find the probability that the student

(i) only likes swimming

(ii) likes football but not swimming.