Answered: Let A and B be events in a sample space… | bartleby

College Algebra

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.2: Probability

Problem 2E

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Let A and B be events in a sample space S. Show that if A and B are independent, then so are
(a) A and B, (b) A and B, and (c) A and B.

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Let E and F be events in a sample space S. aThe probability of E and F occurring is P(EF)=______________. bIf the occurrence of E does not affect the probability of the occurrence F, then the events are called ____________. So in tossing a coin twice, the event E, getting heads on the first toss, and the event F, getting heads on the second toss, are ____________. cIf E and F are independent events, then the probability of E and F is P(EF)=________.
Let E and F be events in a sample space S. aThe probability of E or F occurring is P(EF)= _________. bIf the events E and F have no outcome in common that is, the intersection of E and F is empty, then the events are called ___________ ____________. So in drawing a card from a deck, the event E, getting a heart, and the event F, getting a spade, are ____________ ___________. cIf E and F are mutually exclusive, then the probability of E or F is P(EF)= _________.
Let E and F be events in a sample space S. (a) The probability of E and F occurring is P(EF)= ______________. (b) If the occurrence of E does not affect the probability of the occurrence F then the event are called ______________. So in tossing a coin twice, the event E ‘getting heads on the first toss,’ and the event F, “getting heads on the second toss,” are _____________ . (c) If E and F are independent events, then the probability of E and F is P(EF)= _____________.

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