There are 30 cards from which one card is drawn .
Total number of elementary events = n(S) = 30
(i) From numbers 1 to 30, there are 10 numbers which are multiple of 4 or 6 i.e. {4, 6, 8, 12, 16, 18, 20, 24, 28, 30}
Favorable number of events = n(E) = 10
Probability of selecting a card with a multiple of 4 or 6 = n(E)/n(S) = 10/30 = 1/3
(ii) From numbers 1 to 30, there are 2 numbers which are multiple of 3 and 5 i.e. {15, 30}
Favorable number of events = n(E) = 2
Probability of selecting a card with a multiple of 3 and 5 = n(E)/n(S) = 2/30 = 1/15
(iii) From numbers 1 to 30, there are 14 numbers which are multiple of 3 or 5 i.e. {3, 5, 6, 9, 10, 12, 15, 18, 20, 21, 24, 25, 27, 30}
Favorable number of events = n(E) = 14
Probability of selecting a card with a multiple of 3 or 5 = n(E)/n(S) = 14/30 = 7/15
