Answer to Question #300850 in Statistics and Probability for Tege

Question #300850

1. A coin is tossed twice. If the second throw results in tail a die is thrown.

Describe the sample space for this experiment.


1
Expert's answer
2022-02-22T13:59:18-0500

A coin is tossed twice.The sample space is : S1={HH,TH,HT,TT}.S_1=\{HH, TH, HT, TT\}.

If the second toss shows a tail (HT,TT),(HT,TT), then a die is rolled and it sample space is: S1={1,2,3,4,5,6}.S_1=\{1,2,3,4,5,6\}.

If the second toss shows a rail (HH,TH)(HH,TH) then there is no further action.

Hence the contained sample space is:


S={HH,TH,(HT,1),(HT,2),(HT,3),S=\{HH, TH,(HT, 1), (HT, 2), (HT, 3),

(HT,4),(HT,5),(HT,6),(TT,1),(TT,2),(HT, 4), (HT, 5), (HT, 6), (TT, 1), (TT, 2),

(TT,3),(TT,4),(TT,5),(TT,6)}(TT, 3), (TT, 4), (TT, 5), (TT, 6)\}

The total number of elements of the sample space is 14.



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