a coin is tossed twice. if the second throw results in head, then a die is thrown. find the sample space of the experiment.
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Step-by-step explanation:
To find: Write the sample space for the given experiment
Explanation: A coin tossed twice So the outcomes are:
S
1
={HH,HT,TH,TT}
Now if the second drawn result is head then a die is rolled then the elementary events is
S
2
={(HH,1),(HH,2),(HH,3),(HH,4),(HH,5),(HH,6),TH(,1),(TH,2)(TH,3),(TH,4),(TH,5),(TH,6)}
Thus the total sample space for the experiment is S=S
1
∪S
2
S={(H,H),(H,T),(T,H),(TT),(HH,1)
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