Suppose that in a senior college class of 500 students, it is found that 210 play cricket, 258 play football, 216 play table tennis, 122 play cricket and football both, 83 play football and table tennis both, 97 play cricket and table tennis both, and 52 play all these sports. If a member of this class is selected at random. Find the probability that the student: a) Plays cricket but does not play football b) Plays football and table tennis but does not play cricket c) Neither plays cricket nor football