# If you a draw a card from a standard deck of 52 cards, what is the probability that the card will be an odd number?

##### 1 Answer

Apr 26, 2017

If the Ace isn't odd,

#### Explanation:

In a standard deck of cards, there are 13 ordinals: 9 numbered cards 2-10, plus cards Jack, Queen, King, and Ace (which could be considered a 1). There is one of each ordinal in each of four suits: clubs, spades, hearts, diamonds.

The calculation then rests on whether we consider the Ace an odd card or not. I'll do the calculation both ways.

**Ace is not odd**

The ordinals 3, 5, 7, and 9 are odd. There are four of each (one for each suit) and so

**Ace is odd**

If we want to consider the Ace as a 1, then there are 5 ordinals that are odd,