# If p(A)p(B|A) = p(A)p(B), then A and B must

Question 1

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

Question 2

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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 3

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A priori probability refers to _________.

Question 4

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If p(A and B) = p(A)p(B|A) ¹ p(A)p(B), then A and B are _________.

Question 5

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A posteriori probability refers to _________.

Question 6

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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 7

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If μ = 400 and s = 100 the probability of selecting at random a score less than or equal to 370 equals _________.

Question 8

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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 bottle selected is a Coors beer?

Question 9

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A sample is random if _________.

Question 10

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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 greater than 68 is _________.

Question 11

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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 12

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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 13

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Assume you are rolling two fair dice once. The probability of obtaining a sum of 2 or 12 equals _________.

Question 14

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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 15

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

Question 16

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

Question 17

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The Addition Rule states _________.

Question 18

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Two events are independent if _________.

Question 19

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

Question 20

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When events A and B are mutually exclusive but not exhaustive, p(A or B) equals _________.

Question 21

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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 22

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

Question 23

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Suppose you are going to randomly order individuals A, B, C, D, E and F. The probability the order will begin A B _ _ _ _ is _________.

Question 24

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Captain Kirk and Mr. Spock are engaged in a 3-D backgammon playoff, a game employing 6 dice. Kirk asks Spock the probability of rolling the dice and observing 6 sixes. Assume the dice are not biased. Spock’s correct a priori reply is _________.

Question 25

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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.