49. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48% will watch the British Open. Of those who watch the British Open, 78% watched the Masters tournament. (a) Using M to denote the event "Watch the Masters" and B to denote the event "Watch the British Open", describe the probabilities given in the problem. (b) What is the probability that a randomly selected American watches both the Masters and the British Open? (c) What is the probability that a person watches the British Open if it is known that they watched the Masters tournament? (d) What is the probability that a person does not watch the British Open? (e) Are watching the Masters and watching the British Open independent events? Explain using probabilities. (f) Are watching the Masters and watching the British Open disjoint events? Explain using probabilities.
49. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48% will watch the British Open. Of those who watch the British Open, 78% watched the Masters tournament. (a) Using M to denote the event "Watch the Masters" and B to denote the event "Watch the British Open", describe the probabilities given in the problem. (b) What is the probability that a randomly selected American watches both the Masters and the British Open? (c) What is the probability that a person watches the British Open if it is known that they watched the Masters tournament? (d) What is the probability that a person does not watch the British Open? (e) Are watching the Masters and watching the British Open independent events? Explain using probabilities. (f) Are watching the Masters and watching the British Open disjoint events? Explain using probabilities.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:49. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48%
will watch the British Open. Of those who watch the British Open, 78% watched the Masters
tournament.
(a) Using M to denote the event "Watch the Masters" and B to denote the event "Watch the
British Open", describe the probabilities given in the problem.
(b) What is the probability that a randomly selected American watches both the Masters and
the British Open?
(c) What is the probability that a person watches the British Open if it is known that they
watched the Masters tournament?
(d) What is the probability that a person does not watch the British Open?
(e) Are watching the Masters and watching the British Open independent events? Explain
using probabilities.
(f) Are watching the Masters and watching the British Open disjoint events? Explain using
probabilities.
orobobilities and
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