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Question
A card is drawn at random from a pack of 52 cards. The probability that the drawn card is not an ace is
Options
\[\frac{1}{13}\]
\[\frac{9}{13}\]
\[\frac{4}{13}\]
\[\frac{12}{13}\]
Solution
Total number of possible outcomes = 52
There are 4 ace cards in a pack of cards.
∴ Number of non ace cards in the pack of cards = 52 − 4 = 48
So, the favourable number of outcomes are 48.
∴ P(drawn card is not an ace card) = \[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{48}{52} = \frac{12}{13}\]
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