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# Probability Models

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In each of the following situations, state whether or not the given assignment of probabilities to individual outcomes is legitimate, that is, satisfies the rules of probability.

a) Roll a die and record the count of spots on the up-face:
P (1) = 0 P (2) = 1/6 P (3) = 1/3 P (4) = 1/3 P (5) = 1/6 P (6) = 0

b) Deal a card from a shuffled deck:
P (clubs) = 12/52 P (Diamonds) = 12/52 P (Hearts) = 12/52 P (Spades) = 16/52

c) Choose a college student at random and record sex and enrollment status:
P (female full-time) = 0.56 P (male full-time) = 0.44
P (female part-time) = 0.24 P (male part-time) = 0.17

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In each of the following situations, state whether or not the given assignment of probabilities to individual outcomes is legitimate, that is, satisfies the rules of probability.

a) Roll a die and record the count of spots on the up-face:
P (1) = 0 P (2) = 1/6 P (3) = 1/3 P (4) = 1/3 P (5) = 1/6 P (6) = 0

(i) Not legitimate. Since each number on the fair die is equally likely to face up, the probability of each number ...

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