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A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probality that the drawn card is neither a king nor a queen.
Given: A well shuffled pack of 52 playing cards.
To do: To Find the probability that the drawn card is neither a king nor a queen.
Solution: Let E be the event that the drawn card is neither a king nor a queen.
Total number of possible outcomes $=52$
Number of kings and queens $=4+4=8$
Therefore, there are $52-8=44$ cards that are neither king nor queen
Total number of favorable outcomes $=44$
Required probability $=P( E) =\frac{no.\ of\ favorable\ outcomes}{no.\ of\ total\ outcomes}$
$=\frac{44}{52}$
$=\frac{11}{13}$
Therefore the probability that the drawn card neither a king nor a queen is $\frac{11}{13}$.
Updated on: 10-Oct-2022
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