Saturday, July 18, 2015

College Algebra, Chapter 10, 10.3, Section 10.3, Problem 54

A coin is tossed twice. Let E and F be the following events:

E: The first toss shows heads.

F: The second toss shows heads.

a.) Are the events E and F independent?

Yes, because the occurrence of one event doesn't affect the probability of another event.

b.) Find the probability of showing heads on both tosses.

If the events E and F are independent in a sample, then the probability of E and F is


P(EF)=P(E)P(F)=(12)(12)=14=0.25

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