A coin is tossed three times. An outcome is represented by a string of the sort
ID: 3155499 • Letter: A
Question
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.
Outcomes: TTH, HHH, HHT, TTT, HTH, THH, THT, HTT
Probability of a head on each of the first two tosses =
Probability of No heads on the first two tosses =
A tail on both the first and the last tosses =
Outcomes: TTH, HHH, HHT, TTT, HTH, THH, THT, HTT
Probability of a head on each of the first two tosses =
Probability of No heads on the first two tosses =
A tail on both the first and the last tosses =
Explanation / Answer
Outcomes: TTH, HHH, HHT, TTT, HTH, THH, THT, HTT
Probability of a head on each of the first two tosses = HHH,HHT so probability is 2/8
Probability of No heads on the first two tosses = TTH,TTT so probability is 2/8
A tail on both the first and the last tosses =TTT,THT so probability is 2/8
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