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Exam 4: Probability and Counting Rules

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Question 31

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If a card is drawn from an ordinary deck of cards, and then a second card is drawn from the same deck without replacing the first card, these two events are ________________.

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Question 32

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Box A contains the numbers 1, 2, 3, and 4. Box B contains the numbers 5, 6, 7, and 8. A number is first drawn from Box A and then another number from Box B. Using the figure below, how many outcomes are possible if both numbers are even?

A) 16
B) 4
C) 6
D) 8

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Question 33

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A bookcase contains 2 statistics books and 5 biology books. If 2 books are chosen at random, the chance that both are statistics books is

When the outcome of event A does not affect the probability of the outcome of a subsequent event B, then the events are said to be dependent.

According to popular belief, 80% of adults enjoy drinking beer. Choose a group of 4 adults at random. The probability that all of them enjoy drinking beer is:

If two dice are rolled one time, find the probability of getting a sum less than 5.

If five cards are drawn from a deck of cards without replacement, what is the probability that at least one of the cards is a heart?

There are 2,368 possible ways that a committee of eight people can be selected from a group of 14 people.

The statement, "The probability that a certain sports team will win it's next game is about 60%," is an example of

Evaluate the following: ₇C₃.

A compound event consists of two or more outcomes or simple events.

There are __________ possible ways that eight pictures can be hung along a wall.

If 30 tickets are sold and 2 prizes are to be awarded, find the probability that one person will win both prizes if that person buys exactly 2 tickets.

A jar contains four white marbles, five red marbles, and six black marbles. If a marble were selected at random, the probability that it is white or black would be .

A business has seven locations to choose from and wishes to rank only the top three locations. How many different ways can this be done?

How many different ways can 5 brands of soda be displayed on a supermarket's shelf, one at a time in a row?

A box contains blue chips and red chips. A person selects two chips without replacement. If the probability of selecting a blue chip and a red chip is , and the probability of selecting a blue chip on the first draw is , find the probability of selecting the red chip on the second draw, given that the first chip selected was a blue chip.

In a second grade class containing 13 girls and 9 boys, 2 students are selected at random to give out the math papers. What is the probability that the second student chosen is a boy, given that the first one was a girl?

A coin is tossed 5 times. Find the probability that all 5 tosses are tails.

A probability experiment has two steps. There are two possible results for the first step, call them "A" and "B". If the result for the first step was "A", then there would be 4 possible results for the second step. If the result for the first step was "B", then there would be 15 possible results for the second step. How many possible outcomes are there for this experiment?