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 the second toss or the third toss (or both) Event B: A tail on both the first and the last tosses Event C: No heads on the last two tosses HHT HHH O O THH Outcomes THT O O O HTH O O HTT O U O TTH U O O TTT 0 O Probability 00 X
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 the second toss or the third toss (or both) Event B: A tail on both the first and the last tosses Event C: No heads on the last two tosses HHT HHH O O THH Outcomes THT O O O HTH O O HTT O U O TTH U O O TTT 0 O Probability 00 X
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 the
second
toss or
the third
toss (or
both)
Event
B: A tail
on both
the first
and the
last
tosses
Event
C: No
heads on
the last
two
tosses
HHT HHH
O
O
THH
O
O
Outcomes
THT
O
O
O
HTH HTT
O
O
O
O
U
O
TTH
U
U
O
TTT
0
O
Probability
DO
X
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