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How does the relative frequency interpretation of probability differ from the personal probability interpretation, in terms of variability in the results?

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acceptable answers include
1)Personal p...

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Which of the following problems can arise when intuition differs from relative frequency?


A) Always thinking that a coincidence has a low chance of occurring.
B) The gambler's fallacy.
C) Confusion of the inverse.
D) All of the above.

E) None of the above
F) A) and D)

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Each possible six-number combination of lottery numbers has an equal (and very unlikely) chance of winning.However, there is a possible edge you can get if you think about people's betting behaviors and the chances of having to split the money or not, if you do pick the winning combination.Give an example of a set of numbers that might give you an edge in that case.

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people tend to bet on birthdays, so the ...

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Which probability is larger for a randomly selected woman from the general population: The probability of having breast cancer given that the woman has a positive mammogram, or the probability of a positive mammogram given that the woman has breast cancer?


A) The probability of having breast cancer given that the woman has a positive mammogram.
B) The probability of a positive mammogram given that the woman has breast cancer.
C) The probabilities are the same.
D) Not enough information to tell.

E) B) and D)
F) All of the above

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What two conditions cause a test to have a relatively high rate of false positives?

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1) the base rate is ...

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When you experience a coincidence, which of the following interpretations is appropriate?


A) If an event has a million to one chance, it is expected to happen to 290 people in the U.S.in a given day, on average (because the U.S.population is 290 million) .
B) It is not unlikely that something surprising will happen to someone, somewhere, someday.
C) There is a big difference between the probability of a rare event happening to someone somewhere, and the probability of a rare event happening to a specifically named individual.
D) All of the above.

E) A) and C)
F) None of the above

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Which of the following is needed in order to determine the probability of a positive test result being accurate?


A) The base rate.
B) The sensitivity of the test.
C) The specificity of the test.
D) All of the above.

E) All of the above
F) C) and D)

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In what sense is a coincidence an improbable event?

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it is improbable that the even...

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The __________ of a test for a certain disease is the proportion of people who correctly test positive when they actually have the disease.

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Which of the following would be true if people made decisions based on maximizing their expected monetary return?


A) People wouldn't buy lottery tickets.
B) People wouldn't buy insurance.
C) People wouldn't participate in sports betting.
D) All of the above.

E) B) and D)
F) None of the above

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