The Multiplication Rule states

Question 1

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The Multiplication Rule states _________.

Question 2

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If a town of 7000 people has 4000 females in it, then the probability of randomly selecting 6 females in six draws (with replacement) equals _________.

Question 3

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A certain university maintains a colony of male mice for research purposes. The ages of the mice are normally distributed with a mean of 60 days and a standard deviation of 5.2. Assume you randomly sample one mouse from the colony. The probability his age will be less than 45 days is _________.

Question 4

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Let’s assume you are having a party and have stocked your refrigerator with beverages. You have 12 bottles of Coors beer, 24 bottles of Rainier beer, 24 bottles of Schlitz light beer, 12 bottles of Hamms beer, 2 bottles of Heineken dark beer and 6 bottles of Pepsi soda. You go to the refrigerator to get beverages for your friends. In answering the following question assume you are randomly sampling without replacement. What is the probability the first beverage you get is a beer?

Question 5

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If p(A or B) = p(A) + p(B) then A and B must be _________.

Question 6

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A “hungry” undergraduate student was looking for a way of making some extra money. The student turned to a life of vice – gambling. To be a good gambler, he needed to know the probability of certain events. Help him out by answering the following question

 

A royal flush in poker is when you end up with the ace, king, queen, jack, and 10 of the same suit. It’s the most rare event in poker. If you are playing with a well- shuffled, legitimate deck of 52 cards, what is the probability that if you are dealt 5 cards, you will have a royal flush? Assume randomness.

Question 7

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A “hungry” undergraduate student was looking for a way of making some extra money. The student turned to a life of vice – gambling. To be a good gambler, he needed to know the probability of certain events. Help him out by answering the following question.

The probability of drawing a face card (king, queen or jack) of any suit from a deck of 52 ordinary playing cards in one draw is _________.

Question 8

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A posteriori probability refers to _________.

Question 9

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The probability of throwing two ones with a pair of dice equals _________.

Question 10

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A “hungry” undergraduate student was looking for a way of making some extra money. The student turned to a life of vice – gambling. To be a good gambler, he needed to know the probability of certain events. Help him out by answering the following question.

The probability of rolling “boxcars” (two sixes) with one roll of a pair of fair dice is _________.

Question 11

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A famous hypnotist performs in Meany Hall before a crowd of 350 students and 180 non-students. The hypnotist knows from previous experience that one-half of the students and two-thirds of the non-students are hypnotizable. What is the probability that a randomly chosen person from the audience will be hypnotizable or will be a non-student?

Question 12

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The probability of rolling an even number or a one on a throw of a single die equals _________.

Question 13

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If a stranger gives you a coin and you toss it 1,000,000 times and it lands on heads 600,000 times, what is p(Heads) for that coin?

Question 14

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Assume you are rolling two fair dice once. The probability of obtaining at least one 3 or one 4 equals _________.

Question 15

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Which of the following are examples of mutually exclusive events?

Question 16

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A “hungry” undergraduate student was looking for a way of making some extra money. The student turned to a life of vice – gambling. To be a good gambler, he needed to know the probability of certain events. Help him out by answering the following question.

The probability of drawing an ace, a king and a queen of any suit in that order is _________. Sampling is without replacement from a deck of 52 ordinary playing cards.

Question 17

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The probability of correctly guessing a two digit number is _________.

Question 18

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Let’s assume you are having a party and have stocked your refrigerator with beverages. You have 12 bottles of Coors beer, 24 bottles of Rainier beer, 24 bottles of Schlitz light beer, 12 bottles of Hamms beer, 2 bottles of Heineken dark beer and 6 bottles of Pepsi soda. You go to the refrigerator to get beverages for your friends. In answering the following question assume you are randomly sampling without replacement. What is the probability your first three bottles selected are Pepsi’s?

Question 19

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If events A and B are independent, then p(A and B) = _________.

Question 20

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If p(A)p(B|A) = p(A)p(B), then A and B must be _________.

Question 21

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The probability of drawing an ace followed by a king (without replacement) equals _________.

Question 22

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Two events are independent if _________.

Question 23

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A priori probability refers to _________.

Question 24

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If the odds in favor of an event occurring are 9 to 1, the probability of the event occurring is _________.

Question 25

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If A and B are mutually exclusive and exhaustive, then p(A and B) = _________.