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The term 'sample space' can be somewhat arbitrary. In this case, it might be any of the following (or another) possibility:
If order of flips is significant:
HHHH
HHHT
HHTH
HHTT
HTHH
HTHT
HTTH
HTTT
THHH
THHT
THTH
THTT
TTHH
TTHT
TTTH
TTTT
If order is not significant:
HHHH
HHHT
HHTT
HTTT
TTTT
If, say, only the number of either heads or tails is important:
4
3
2
1
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What is the sample space of tossing a coin 2 times?
The sample space for tossing a coin twice is [HH, HT, TH, TT].
What is the sample space of tossing a coin?
The sample space of tossing a coin is H and T.
What is the sample space for flipping a coin 3 times?
The sample space when tossing a coin three times is [HHH, HHT, HTH, HTT, THH, THT, TTH, TTT]It does not matter if you toss one coin three times or three coins one time. The outcome is the same.
What show an element of the sample space for first rolling a die and then tossing a coin?
T 4, t 6, h 5 (apex)
Which numbers show an element of the sample space for first rolling a die and then tossing a coin?
(1,2,3,4,5,6][Heads,Tails] is a depiction of this notation. It is an expression of probability.
