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Question
A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability that the drawn card is neither a king nor a queen ?
Solution
Let E denote the event that the drawn card is neither a king nor a queen.
Total number of possible cases = 52.
Total number of cards that are king and those that are queen in the pack of playing cards = 4 + 4 = 8.
Therefore, there are 52 − 8 = 44 cards that are neither a king nor a queen.
Total number of favourable cases = 44.
∴ Required probability = P(E) = `\text{Favourable number of case}/\text{Total number of case}=44/52=11/13`
Thus, the probability that the drawn card is neither a king nor a queen is `11/13`
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