  # A card is drawn from a pack of 52 cards. The probability of getting an ace is 1/52. True or False?

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Updated on: September 25th, 2023 The statement that if a card is drawn from a pack of 52 cards, the probability of getting an ace is 1/52 is false. There are a total of 52 cards in a pack and in each pack, there are 4 aces. Hence, the probability of getting an ace in a deck of cards will be 1/13. A probability is always calculated in the range of 0 to 1. In this range, 0 denotes an event that is impossible and 1 is an event that is possible.

Table of content ## The Probability of Getting an Ace from a Deck of Cards

By definition, a probability is a chance of an event happening or not happening. The probability of an event is proportional to the total number of outcomes divided by number of favorable outcomes. The formula to calculate the probability of an event is –

P(E) = Total number of outcomes/Number of favorable outcomes

### Solution

Now, to understand the probability of drawing an ace in a deck of cards, we will consider the following.

Total number of cards in a deck = 52

Total number of aces in a deck of cards = 4

Now, that we have clarity on the number of cards, we can find the probability by following the formula mentioned above.

Probability of getting an ace in a deck of cards = 52/4 = 1/13

Thus, the statement that the probability of getting an ace in a deck of cards is 1/52 is false.

Summary:

## A card is drawn from a pack of 52 cards. The probability of getting an ace is 1/52. True or False?

The statement is false. In a deck of cards, there are 52 cards and the total number of aces is 4. Hence, the probability will be 4/52 or 1/13 when taking the total number of outcomes and the number of favorable outcomes into consideration.

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