Straight Lines

Sponsor Area

Question
CBSEENMA11014587

Describe the sample space for the following experiment.
A coin is tossed three times.

Solution

A coin is tossed three times.
Sample space, S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}

Sponsor Area

Question
CBSEENMA11014588

Describe the sample space for the following experiment.
A die is thrown two times.

Solution

The die has six faces numbered 1 to 6 and as such the sample space for two throws is:
straight S equals open curly brackets table row cell left parenthesis 1 comma 1 right parenthesis end cell cell left parenthesis 1 comma 2 right parenthesis end cell cell left parenthesis 1 comma 3 right parenthesis end cell cell left parenthesis 1 comma 4 right parenthesis end cell cell left parenthesis 1 comma 5 right parenthesis end cell cell left parenthesis 1 comma 6 right parenthesis end cell row cell left parenthesis 2 comma 1 right parenthesis end cell cell left parenthesis 2 comma 2 right parenthesis end cell cell left parenthesis 2 comma 3 right parenthesis end cell cell left parenthesis 2 comma 4 right parenthesis end cell cell left parenthesis 2 comma 5 right parenthesis end cell cell left parenthesis 2 comma 6 right parenthesis end cell row cell left parenthesis 3 comma 1 right parenthesis end cell cell left parenthesis 3 comma 2 right parenthesis end cell cell left parenthesis 3 comma 3 right parenthesis end cell cell left parenthesis 3 comma 4 right parenthesis end cell cell left parenthesis 3 comma 5 right parenthesis end cell cell left parenthesis 3 comma 6 right parenthesis end cell row cell left parenthesis 4 comma 1 right parenthesis end cell cell left parenthesis 4 comma 2 right parenthesis end cell cell left parenthesis 4 comma 3 right parenthesis end cell cell left parenthesis 4 comma 4 right parenthesis end cell cell left parenthesis 4 comma 5 right parenthesis end cell cell left parenthesis 4 comma 6 right parenthesis end cell row cell left parenthesis 5 comma 1 right parenthesis end cell cell left parenthesis 5 comma 2 right parenthesis end cell cell left parenthesis 5 comma 3 right parenthesis end cell cell left parenthesis 5 comma 4 right parenthesis end cell cell left parenthesis 5 comma 5 right parenthesis end cell cell left parenthesis 5 comma 6 right parenthesis end cell row cell left parenthesis 6 comma 1 right parenthesis end cell cell left parenthesis 6 comma 2 right parenthesis end cell cell left parenthesis 6 comma 3 right parenthesis end cell cell left parenthesis 6 comma 4 right parenthesis end cell cell left parenthesis 6 comma 5 right parenthesis end cell cell left parenthesis 6 comma 6 right parenthesis end cell end table close curly brackets

Question
CBSEENMA11014589

Describe the sample space for the following experiment.
A coin is tossed four times.


Solution

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}

Question
CBSEENMA11014590

Describe the sample space for the following experiment.
A coin is tossed once.

Solution

A coin is tossed once.
Sample space, S = {H, T}