# High School Math : Identifying Variables and Relationships

## Example Questions

### Example Question #1 : Identifying Variables And Relationships

In a standard deck of cards, with replacement, what is the probability of drawing two Ace of Hearts?     Explanation:

Probability of drawing first ace of hearts: Probability of drawing second ace of hearts: Multiply both probabilities by each other: ### Example Question #2 : Variable Relationships

In a standard deck of cards, without replacement, what is the probability of drawing three kings?     Explanation:

Start with 52 cards, probability of drawing first king: Now you have 51 cards. Probability of drawing second king: Now you have 50 cards. Probability of drawing third king: Multiply all probabilities: ### Example Question #3 : Variable Relationships

With a standard deck of cards, what is the probability of picking a spade then a red card if there is no replacement?      Explanation:

In a standard deck of cards:    ### Example Question #401 : Algebra Ii

Using a standard deck of cards, what is the probability of choosing a single face card?      There are cards in a standard deck: cards in suits.  There are face cards (King, Queen, Jack) in each suit, so there are total face cards.
Thus the probability of choosing a single face card is or . 