How to use the multiplication rule

Practice Questions

AP Statistics › How to use the multiplication rule

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1

If you have a deck of cards, what is the probability that you draw a spade after you drew a non-spade on the first draw without replacement?

2

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

3

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

4

Let us suppose that the probability of obtaining heads in a coin flip is 0.5 and the probability of the Earth being hit by an asteroid is 0.01.

The Pr(Obtaining Heads in a Coin Flip and Earth being hit by an Asteroid) .

Are these variables dependent or independent?

5

Research has found that the probability of having brown eyes is and the probability of having red hair is . Assuming these probabilities are independent, what is the probability of having brown eyes and red hair?

6

How many different combinations of 3 digit numbers can be formed using the numbers 1, 2, 3, 4, and 5, if repetitions are allowed?

7

If the probability of landing a heads in a coin flip is 0.5 and the probability of observing a meteor hit the earth is 0.03, and these events are independent, what is the probability of landing a heads AND observing a meteor hit the earth?

8

Automobile license plates in a certain area display three letters followed by three digits, and the letters Z and N are not used. How many plates are possible if neither repetition of letters nor of numbers is allowed?

9

Mike's five-person family is going out to dinner, and each person is planning to order a soda. The restaurant offers Soda1 and Soda2 only, and each family member likes both sodas equally.

What is the probability that all 5 family members will order Soda1?

10

1 pencil and 7 pens are on a desk. One of the 8 items is randomly selected from the desk and then is replaced. Once again, an item is selected from the 8 items.

What is the probability that the pencil was selected both times?

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