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A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is other than an ace.
Given:
A card is drawn at random from a pack of 52 cards.To do:
We have to find the probability that the card drawn is other than an ace.
Solution:
A pack of cards contains 52 cards of four suits and two colours red and black.
Each suit has 1 to 13 numbers in which 4 are ace, jack, queen and king.
This implies,
The total number of possible outcomes $n=52$.
Number of cards that are other than an ace $=52-4=48$
Total number of favourable outcomes $=48$.
We know that,
Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$
Therefore,
Probability that the card drawn is other than an ace $=\frac{48}{52}$
$=\frac{12}{13}$
The probability that the card drawn is other than an ace is $\frac{12}{13}$.
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