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 first toss or the third toss (or both). Event B: Alternating tail and head (with either coming first) Event C: No tails on the first two tosses TTH HTH 0 0 0 0 0 THT 0 Outcomes HHH 0 0 HTT 0 0 0 HHT 0 0 0 THH 0 0 TIT 0 0 0 Probability 0 olo X 5

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 first toss or the
third toss (or both)
Event B: Alternating tail and head (with
either coming first)
Event C: No tails on the first two tosses
Explanation
Check
@
#
с
TTH
0
0
$
A
HTH
0
0
THT
0
0
0
Outcomes
%
5
HHH
0
0
HTT
0
A
0 0
0
G Search or type URL
MacBook Pro
HHT
6
&
THH
7
0
0
0
TTT
☆
0
0
0
* 00
Probability
8
©2024 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Acces
0
0
0
+
L
(
X
9
)
S
2
C
Transcribed Image Text:esc 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 first toss or the third toss (or both) Event B: Alternating tail and head (with either coming first) Event C: No tails on the first two tosses Explanation Check @ # с TTH 0 0 $ A HTH 0 0 THT 0 0 0 Outcomes % 5 HHH 0 0 HTT 0 A 0 0 0 G Search or type URL MacBook Pro HHT 6 & THH 7 0 0 0 TTT ☆ 0 0 0 * 00 Probability 8 ©2024 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Acces 0 0 0 + L ( X 9 ) S 2 C
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