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12. A coin is tossed. If the out come is a head, a die is thrown. If the die shows up an even number, the die is thrown again. What is the sample space for the experiment?
Answers (1)
Possible outcomes when a coin is tossed = {H,T}
Possible outcomes when a die is thrown = {1,2,3,4,5,6}
When T occurs, experiment is finished. S1 = {T}
When H occurs, a die is thrown.
If the outcome is odd ({1,3,5}), S2 = {H1, H3, H5}
If the outcome is even({2,4,6}), the die is thrown again.,
S3 = {H21, H22, H23, H24, H25, H26, H41, H42, H43, H44, H45, H46, H61, H62, H63, H64, H65, H66}
The required sample space is:
S = {T, H1, H3, H5, H21, H22, H23, H24, H25, H26, H41, H42, H43, H44, H45, H46, H61, H62, H63, H64, H65, H66}
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