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| 1 . |
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The use of "expert opinion" is one way to approximate subjective probability values. [Hint]
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| 2 . |
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If we have a single deck of cards, the probability of drawing a spade which is also an Ace is 1/52. [Hint]
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| 3 . |
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If two events are mutually exclusive, the probability of both events occurring is simply the sum of the individual probabilities. [Hint]
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| 4 . |
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If we have a single deck of cards, the drawing of a spade and a club are considered collectively exhaustive events. [Hint]
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| 5 . |
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If we have a single deck of cards, we should view the drawing first of a Three (3) of Spades, and second, of a Four (4) of Diamonds, as mutually exclusive events. [Hint]
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| 6 . |
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If two events are termed statistically independent, this implies that the two events cannot occur simultaneously. [Hint]
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| 7 . |
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Assume we are tossing a two-headed coin. After tossing the coin 10,000 times, each time resulting in a "head," the probability that the next toss will result in a "head" is 0.5. [Hint]
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| 8 . |
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If a bucket has three black balls and seven green balls, and we draw balls without replacement, the probability of drawing a green ball is independent of the number of balls previously drawn. [Hint]
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| 9 . |
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Bayes' rule enables us to calculate the probability that one event takes place knowing that a second event has or has not taken place. [Hint]
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| 10 . |
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Assume that you have an urn containing 10 balls of the following description:
- 4 are white (W) and lettered (L)
- 2 are white (W) and numbered (N)
- 3 are yellow (Y) and lettered (L)
- 1 is yellow (Y) and numbered (N)
If you draw a numbered ball (N), the probability that this ball is white (W) is 0.667.
[Hint]
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