High School Math : Variable Relationships

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #3 : Basic Statistics

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

Possible Answers:

Correct answer:

Explanation:

Probability of drawing first ace of hearts:

Probability of drawing second ace of hearts:

Multiply both probabilities by each other:

Example Question #3 : How To Use The Multiplication Rule

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

Possible Answers:

Correct answer:

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 #2 : Basic Statistics

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:

Explanation:

In a standard deck of cards:

Example Question #4 : Basic Statistics

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

Possible Answers:

Correct answer:

Explanation:

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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