A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Event A: A tail on both the first and the last tosses Event B: A tail on the first toss or the second toss (or both) Event C: Alternating head and tail (with either coming first) THT U TTT O O TTH U O Outcomes HHT O O O THH HTT U O U O O O HTH O O O HHH O O O Probability 00
A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Event A: A tail on both the first and the last tosses Event B: A tail on the first toss or the second toss (or both) Event C: Alternating head and tail (with either coming first) THT U TTT O O TTH U O Outcomes HHT O O O THH HTT U O U O O O HTH O O O HHH O O O Probability 00
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss,
followed by two tails). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.
For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column,
enter the probability of the event.
Event A:
A tail on
both the
first and
the last
tosses
Event B:
A tail on
the first
toss or the
second
toss (or
both)
Event C:
Alternating
head and
tail (with
either
coming
first)
THT TTT
0
O
O
O
O
TTH
O
O
O
Outcomes
HHT
O
0
O
THH HTT
U
U
O
O
O
O
HTH
O
O
O
HHH
U
O
U
Probability
0
0
010
믐
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