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: No heads on the last two tosses Event B: A tail on both the first and the last tosses Event C: A tail on the last toss or the second toss (or both) THT S 0 HHT HTT TTT 0 3 0 Outcomes ✔ 3 0 ΗΤΗ 0 0 TTH HHH 0 0 0 0 THH 0 Probability 28 14 4 00 8 X 5

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 4E: Let E and F be events in a sample space S. aThe probability of E and F occurring is...
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O COUNTING AND PROBABILITY
Outcomes and event probability
Event A: No heads on the last two
tosses
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 B: A tail on both the first and the
last tosses
Event C: A tail on the last toss or the
second toss (or both)
Explanation
Check
THT
0
✔
0
HHT HTT
0
0
✓
Outcomes
TTT
HTH
0
0
TTH
0
HHH
0
THH
Probability
200
4
0/5
X
Evelyn V
Español
?
▷
Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility
Transcribed Image Text:O COUNTING AND PROBABILITY Outcomes and event probability Event A: No heads on the last two tosses 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 B: A tail on both the first and the last tosses Event C: A tail on the last toss or the second toss (or both) Explanation Check THT 0 ✔ 0 HHT HTT 0 0 ✓ Outcomes TTT HTH 0 0 TTH 0 HHH 0 THH Probability 200 4 0/5 X Evelyn V Español ? ▷ Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility
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