A coin is tossed once. Then, if it comes up heads, adie is thrown once; if the coin comes up tails, it is tossed twice more. Using the notation in which (H, 2), for exam-ple, denotes the event that the coin comes up heads and then the die comes up 2, and (T, T, T) denotes the eventthat the coin comes up tails three times in a row, list(a) the 10 elements of the sample space S;(b) the elements of S corresponding to event A thatexactly one head occurs;(c) the elements of S corresponding to event B that atleast two tails occur or a number greater than 4 occurs.

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 39E: Spinner A and B shown in the figure are spun at the same time. (a) Are the events "spinner A stops...
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A coin is tossed once. Then, if it comes up heads, a
die is thrown once; if the coin comes up tails, it is tossed
twice more. Using the notation in which (H, 2), for exam-
ple, denotes the event that the coin comes up heads and
then the die comes up 2, and (T, T, T) denotes the event
that the coin comes up tails three times in a row, list
(a) the 10 elements of the sample space S;
(b) the elements of S corresponding to event A that
exactly one head occurs;
(c) the elements of S corresponding to event B that at
least two tails occur or a number greater than 4 occurs.
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