# What is the probability of drawing an ace from a deck of 52 cards?

## What is the probability of drawing an ace from a deck of 52 cards?

The probability of picking up an ace in a 52 deck of cards is 4/52 since there are 4 aces in the deck.

## What is the probability of getting either a spade or a jack when drawing a single card from a deck of 52 cards?

There are 4 jacks in the deck and 13 spades. However 1 jack is a spade so we have a total of 16 cards which are either a jack or a spade. Therefore there are 52−16=36 cards which are not a jack or a spade. Thus the probability is 36/52.

**What is the probability of drawing a red card or ace?**

The probability of drawing a red card is 1/2 as half the cards are red. So we need the sum 1/2 + 4/52 but we have counted red aces in both of these so we need to subtract the probability of drawing a red ace. So p(draw an ace or a red card) = 4/52 + 26/52 – 2/52 = 28/52.

**What is the probability of drawing two aces from a deck of 52 cards?**

Thus, the chance of drawing an ace on each of two draws is 4/52 × 3/51, or 1/221.