Exam 7: Basic Probability Theory

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In a set of 3 possible events that are mutually exclusive, what is the probability of two different events occurring together?

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Inferential statistics allow you to evaluate whether a hypothesis is true or false.

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Freddie tosses a fair coin 3 times and gets T T T. What is the probability of obtaining tails if he tosses the coin for the fourth time?

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In a deck of 52 cards, what is the probability of not drawing a five on the first draw?

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In the law of large numbers, the "large numbers" refers to anything larger than 100.

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Which of the following statements is true?

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The law of large numbers is a fallacy that results in an overestimation of the frequency of extreme outcomes.

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Define the gambler's fallacy and give an example of how it can lead to a wrong conclusion.

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The theoretical probability of drawing two black cards simultaneously from a deck of poker cards is:

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On tossing a coin, the probability of obtaining an outcome of HHHHHH is smaller than the probability of obtaining an outcome of HTHHHT.

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Consider the 12 face cards in a deck (king, queen and jack). What is the probability of obtaining a spade on the first draw? Explain, or show, how you got the answer.

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When two events are mutually exclusive, it means that when one occurs, the other event cannot occur.

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For the empirical probability of roulette outcomes to approach the theoretical probability, the number of trials has to be approaching infinity. This is also known as:

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The probability of obtaining two sixes after rolling two dice is the same regardless of whether you roll the dice sequentially or simultaneously.

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What is the probability that when drawing a card at random from the deck, it will not be the King of Clubs?

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When calculating the probability of obtaining a tail after a toss of a coin, the denominator of the formula is the number of events in a universal set.

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In a deck of 52 cards, what is the probability of drawing either a two or a three on the first draw?

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Lenard studies the relationship between aggressive behavior and finger length. He hypothesizes that the relative length of the index finger to the ring finger predicts aggression. The length of the population of human index finger can be considered the _________________ , while the sample length of the index finger measured from 10 of Lenard's volunteer participants is the _____________.

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How many events are there in a single toss of a coin?

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An empirical set is a set of theoretical predictions.

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