Exam 4: Probability and Counting Rules

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If two dice are rolled one time, find the probability of getting a sum of 6.

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C

Two events are mutually exclusive if they cannot both occur.

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Tree diagrams are useful for

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B

If one card is drawn from an ordinary deck of cards, what is the probability that the card will be an ace, a king of hearts, or a spade?

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Two events A and B are ______________ if the fact that A occurs does not affect the probability of B occurring.

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If a sportscaster makes an educated guess as to how well a team will do this season, he is using what type of probability?

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If a coin is tossed three times, the probability that the coin lands on heads at least one of those three times is 7/8.

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A group of 10 male and 8 female students is talking about going out for pizza. If 50% of the male students actually go and 25% of the female students actually go, find the probability that a random student who goes out for pizza is female.

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Below are listed the numbers of engineers in various fields by sex. Choose one engineer at random. Find Below are listed the numbers of engineers in various fields by sex. Choose one engineer at random. Find   .  . Below are listed the numbers of engineers in various fields by sex. Choose one engineer at random. Find   .

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If one tosses a coin enough times, the number of heads and tails will tend to "even out." This is an example of the law of ______________.

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  <sub> </sub>is equal to 84. is equal to 84.

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Classical probability was the first type of probability studied formally by mathematicians of the 17th and 18th centuries.

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There are 3 different mathematics courses, 5 different science courses, and 2 different history courses. If a student must take one of each, how many different ways can this be done?

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In a physics class there are 10 juniors and 20 males; so there must be 30 male juniors in this class.

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The number of different arrangements of four pictures from a selection of ten pictures is 5,040.

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There are 3 first grade children, 5 second grade children, and 6 third grade children in a room. When choosing two children, what is the conditional probability of choosing a second grade child, given that either a first or a third grade child was chosen first?

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If the probability that it will rain tomorrow is 0.37, what is the probability that it will not rain tomorrow?

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Urn 1 contains 6 red balls and 4 black balls. Urn 2 contains 4 red balls and 6 black balls. Urn 3 contains 4 red balls and 5 black balls. If an urn is selected at random and a ball is drawn, find the probability it will be red.

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If there are 18 equally likely events, then the probability of the first one occuring is 1/18.

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  is equal to 84. is equal to 84.

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