Total numbers of elementary events are: 52

(i) Let E be the event of drawing a queen

The numbers of favourable outcomes are: 4

∴ P (queen) = P (E) = 4/52 = 1/13

(ii) Let E be the event of drawing a diamond card

The numbers of favourable outcomes are: 13

∴ P (diamond card) = P (E) = 13/52 = 1/4

(iii) Let E be the event of getting a king or an ace

Let A be the event of drawing a king

The numbers of favourable outcomes are: 4

P (king) = P (A) = 4/52 = 1/13

Let B be the event of drawing an ace

The numbers of favourable outcomes are: 4

P (an ace) = P (E) = 4/52 = 1/13

∴ P (king or an ace) = P (E) = P (A) + P (B) =1/13 + 1/13 = 2/13

(iv) Let E be the event of drawing a red ace

The numbers of favourable events are: 2

∴ P (red ace) = P (E) = 2/52 = 1/26