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11 grade maths others

Find the probability of getting an ace when a card is selected at random from a pack of 52 playing cards.

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To find the probability of getting an ace when selecting a card at random from a standard deck of 52 playing cards, we need to determine the number of favorable outcomes (number of aces) and the total number of possible outcomes (total number of cards).

In a standard deck of 52 playing cards, there are four aces (one ace of each suit: hearts, diamonds, clubs, and spades). Therefore, the number of favorable outcomes is 4.

The total number of possible outcomes is 52 since there are 52 cards in the deck.

Now, we can calculate the probability of getting an ace by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability of getting an ace = Number of favorable outcomes / Total number of possible outcomes
= 4 / 52
= 1 / 13
≈ 0.0769
≈ 7.69%

Therefore, the probability of getting an ace when selecting a card at random from a pack of 52 playing cards is approximately 7.69%.