### All High School Math Resources

## Example Questions

### Example Question #1 : How To Identify Independent Variables

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

**Possible Answers:**

**Correct answer:**

Probability of drawing first ace of hearts:

Probability of drawing second ace of hearts:

Multiply both probabilities by each other:

### Example Question #1 : Basic Statistics

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

**Possible Answers:**

**Correct answer:**

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 #2 : 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?

**Possible Answers:**

**Correct answer:**

In a standard deck of cards:

### Example Question #4 : Statistical Patterns And Random Phenomena

Using a standard deck of cards, what is the probability of choosing a single face card?

**Possible Answers:**

**Correct answer:**

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 .

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