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What is the probability of independent events?

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Hubert Koch
Hubert KochLv2
24 Feb 2020
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

If two events are independent, we can _____________ their probabilities to determine the intersection probability.

Determine whether the events E and F are independent or dependent. Justify your answer.

E: A person going into debt.

F: The same person having a credit card.

A.) E and F are dependent because going into debt has no effect on the probability of a person having a credit card.

B.) E and F are dependent because having a credit card can affect the probability of a person going into debt.

C.)E and F are independent because going into debt has no effect on the probability of a person having a credit card.

D.) E and F are independent because having a credit card has no effect on the probability of a person going into debt.

E: A randomly selected person finding cheese revolting.

F: Another randomly selected person finding cheese delicious.

A.) E can affect the probability of F, even if the two people are randomly selected, so the events are dependent.

B.) E cannot affect F because "person 1 finding cheese revolting" could never occur, so the events are neither dependent nor independent.

C.) E can affect the probability of F because the people were randomly selected, so the events are dependent.

D.) E cannot affect F and vice versa because the people were randomly selected, so the events are independent.

Can two events with nonzero probabilities be both independent and mutually exclusive? Choose the correct answer below.

A. Yes, two events with nonzero probabilities can be both independent and mutually exclusive when their probabilities add up to one.

B. No two events with nonzero probabilities cannot be independent and mutually exclusive because if two events are mutually exclusive, then when one of them occurs, the probability o the other must be zero.

C. Yes, two events with nonzero probabilities can be both independent and mutually exclusive when their probabilities are equal.

D. No, two events with nonzero probabilities cannot be independent and mutually exclusive because independence is the complement of being mutually exclusive.

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