(a(i)) Shalini is late for school with probability \(1/6\) on any day. Complete the Monday–Tuesday tree. [2]

(a(ii)) Find the probability she is late Monday and not late Tuesday. [2]

(b(i)) Use set notation for the region containing only one student. [1]

(b(ii)) Find \(n(T^\prime\cap(G\cup M))\). [1]

(b(iii)) Pick one of the 50 students. Find the probability of trainers but no glasses. [1]

(b(iv)) Pick two students at random from those wearing trainers. Find the probability both have phones. [3]