Introduction to Statistics-Late Sprilg 2018 Quiz 8 | 14 of 25 23 456 7 8911 12 1

Question

Introduction to Statistics-Late Sprilg 2018 Quiz 8 | 14 of 25 23 456 7 8911 12 13 14 15 16 17 18 19 20 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 (If necessary, consult a list of formulas.) Outcomes Probability HHH HHT THT HTT HTH TTT TTH THH Exactly one tai Events Alternating tails and heads (with either coming first) More tails than heads Submit Assig Worked Example ^?? Type here to search

Explanation / Answer

Solution :

=> Total possible outcomes = 8 { HHH,HHT,THT,HTT,HTH,TTT,TTH,THH }

=> the coin is tossed 3 times then there are 3 events

=> The first event is exactly one tail then the possible outcomes are {HHT,HTH,THH}

=> the probability is 3/8

=> The second event is alternating tails and heads(with either coming first) then the possible outcomes are {THT,HTH}

=> the probability is 2/8 = 1/4

=> The third event is more tails than heads then the possible outcomes are {THT,HTT,TTT,TTH}

=> the probability is 4/8 = 1/2

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