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 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: Two or more tails Event B: Exactly one head Event C: A tail on both the first and the last tosses TTT 0 0 0 HHH HTT 0 0 O 0 0 Outcomes THT 0 0 HHT O 0 HTH TTH THH O 0 0 0 O 0 Probability 0 0 X S

A First Course in Probability (10th Edition)
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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    | Outcomes        | Probability |
|----------|-----------------|-------------|
| Event A: Two or more tails   | TTT, HHT, HTT, THT |             |
| Event B: Exactly one head    | HTT, THT, TTH      |             |
| Event C: A tail on both the first and the last tosses | TTT           |             |

**Outcomes:**
- TTT
- HHH
- HTT
- THT
- HTH
- HTH
- TTH
- THH

Mark the outcomes that apply to each event and calculate the probability based on the number of favorable outcomes over the total number of possible outcomes (8 in this case).
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 | Outcomes | Probability | |----------|-----------------|-------------| | Event A: Two or more tails | TTT, HHT, HTT, THT | | | Event B: Exactly one head | HTT, THT, TTH | | | Event C: A tail on both the first and the last tosses | TTT | | **Outcomes:** - TTT - HHH - HTT - THT - HTH - HTH - TTH - THH Mark the outcomes that apply to each event and calculate the probability based on the number of favorable outcomes over the total number of possible outcomes (8 in this case).
Expert Solution
Step 1

From the provided information,

A coin is tossed three times.

Total outcomes = 23 = 8 

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