One card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing (i) an ace, (ii) a ‘4’ of a spades, (iii) a’9’ of a black suit, (iv) a red king.
Total numbers of elementary events are: 52
(i) Let E be the event of drawing an ace
The favourable outcomes are: 4
∴ P (an ace) = P (E) = 4/52 = 1/13
(ii) Let E be the event of drawing ‘4’ of a spade
The number of favourable outcomes is: 1
∴ P (‘4’ of spade) = P (E) = 1/52
(iii) Let E be the event of drawing ‘9’ of a black suit
The numbers of favourable outcomes are: 2
∴ P (‘9’ of a black suit) = P (E) = 2/52 =1/26
(iv) Let E be the event of drawing a red king
The numbers of favourable outcome are: 2
∴ P (red king) = P (E) = 2/52 = 1/26