Describe the sample space for the following experiment.
A coin is tossed three times.
A coin is tossed three times.
Sample space, S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
Describe the sample space for the following experiment.
A die is thrown two times.
The die has six faces numbered 1 to 6 and as such the sample space for two throws is:
Describe the sample space for the following experiment.
A coin is tossed and a die is thrown (rolled).
A coin is tossed.
The sample space,
A die is rolled.
The sample space,
The combined sample space of these two experiments is:
S = {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}
Describe the sample space for the following experiment.
A coin is tossed four times.
A coin is tossed four times.
Sample space, S = {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, THHT, HTTH, THTH, TTHH, TTTH, TTHT, THTT, HTTT, TTTT}
Describe the sample space for the following experiment.
A coin is tossed and a die is rolled only in case a head is shown on the coin.
A coin is tossed:
The sample space is
If a head H appears, then a die is rolled.
The outcomes are {1, 2, 3, 4, 5, 6}
If a tail T appears on the coin, there is no further action.
∴ The combined sample space is S = {T, H1, H2, H3, H4, H5, H6}