A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that the drawn card is neither a king nor a queen.
Total numbers of elementary events are: 52
Let E be the event of drawing neither a king or a queen
Let A be the event of drawing a king
Then, the numbers of favourable outcomes are: 4
P (king) = P (A) = 4/52
Let B be the event of drawing a queen
Then, the numbers of favourable outcomes are: 4
P (queen) = P (B) = 4/52
Let C be the event of getting either a king or a queen
Then, the numbers of favourable events are: 4 + 4 = 8
P (either king or queen) = P (C) = 4/52 + 4/52 = 8/52 = 2/13
∴ P (neither king or queen) = P (E) = 1- P (C) = 1- 2/13 = 11/ 13