An experiment consists of two steps. First a coin is flipped, if the outcome is

Question

An experiment consists of two steps. First a coin is flipped, if the outcome is tails, a die is tossed. If the outcome is heads, the coin is flipped again. a.) Which is the sample space for the experiment? S = {T1, T2, T3, T4, T5, T6, HT, HH} S = {T1, T2, T3, T4, T5, T6, HI, H2, H3, H4, H5, H6} S = {TT, TH, HI, H2, H3, H4, H5, H6} S= {TT, TH, HT, HH, 1, 2, 3, 4, 5, 6} b.) Which possible outcomes are in the event E: the first flip of the coin is heads? E = {HT, HH} E = {H1, H2, H3, H4, H5, H6} E = {H1} E = {HH} c.) Which is the event F: there is an odd outcome when the die is tossed? F = {T1, T3, T5} F = {H1, H3, H5} F = {TH1, TH3, TH5)

Explanation / Answer

a) ans) 1st option since if tail occurs then next outcome can be 1,2,3,4,5 or 6 and if head occurs in the first outcome,then the coin is flipped again,so next outcome will also be head or tail

b) ans) 1st option since if head occurs then the coin is flipped again.

c) ans) 1st option since 1st outcome should T,then outcome can be 1,3 or 5

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