Chapter 5 Test - Probability

A fair coin is tossed four times, and each time the coin lands heads up. If the coin is then

tossed 1996 more times, how many heads are most likely to appear in these 1996 additional

tosses?

• 996

• 998

• 1000

• 1002

• 1996

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Dwayne has collected data on the number of occupants of cars travelling on the road past his house for the past week. Based on his data, he has constructed a probability model for the number of occupants of a randomly-selected car on his street. Which of the following could be his model?

• 
• 
• 
• 
• 

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The two-way table below gives information on the performers in the New York Philharmonic Orchestra, categorized by section (type of instrument) and gender.

You select one musician from this group at random. What is the probability that this person plays a woodwind?

• 0.091

• 0.136

• 0.159

• 0.182

• 0.571

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The two-way table below gives information on the performers in the New York Philharmonic Orchestra, categorized by section (type of instrument) and gender.

You select one musician from this group at random. If the person is a male, what is the probability that he plays a woodwind?

• 0.091

• 0.136

• 0.159

• 0.182

• 0.571

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You select one musician from this group at random. Which of the following statement is true about the events “Plays a woodwind” and “Male?”

• The events are mutually exclusive and independent.

• The events are not mutually exclusive but they are independent.

• The events are mutually exclusive, but they are not independent.

• The events are not mutually exclusive, nor are they independent.

• The events are independent, but we do not have enough information to determine if they

  are mutually exclusive.

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A die is loaded so that the number 6 comes up three times as often as any other number (sides 1-5 have p(x)=1/8, while p(6)=3/8). What is the probability of rolling a 1 or a 6?

• 2/3

• 1/2

• 3/8

• 1/3

• 1/4

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CCSS.HSS.CP.B.7

You draw two marbles at random from a jar that has 20 red marbles and 30 black marbles without replacement. What is the probability that both marbles are red?

• 0.155

• 0.160

• 0.222

• 0.444

• 0.800

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An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1.

The conditional probability of A, given B is

• 1/2

• 3/10

• 1/5

• 1/6

• cannot be determined with the given information

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An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1.

We may conclude that

• events A and B are independent.

• events A and B are mutually exclusive.

• either A or B always occurs.

• events A and B are complementary.

• none of the above is correct.

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If you buy one ticket in the Provincial Lottery, then the probability that you will win a prize is 0.11. Given the nature of lotteries, the probability of winning is independent from month to month. If you buy one ticket each month for five months, what is the probability that you will win at least one prize?

• 0.55

• 0.5

• 0.44

• 0.45

• 0.56

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