You think of each toss as having heads or tails, so there are two choices. If you toss the coin twice you have 4 choices HH, TT, HT and TH. The number of different coin tosses is 2n ordered tosses and n+1 unordered. For example in two tosses, 22=4 ordered tosses if HT is different than TH and if HT is the same as TH then we have 2+1=3 different possible tosses. So using this if we toss a coin 5 times and order does not matter, there are 6 different possibilities. These are HHHHH, TTTTT, HTTTT, HHTTT, HHHTT, HHHHT,HHHHH.
If order matters, there are 25=32 different possible ways to toss a coin 5 times. For example, HHHHT is different than THHHH. I will not write them all out, but you can do it easily by starting with HHHHH and changing each H to a T then two H to T and then 3, etc.
The sample space for tossing a coin twice is [HH, HT, TH, TT].
The sample space of tossing a coin is H and T.
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.
T 4, t 6, h 5 (apex)
(1,2,3,4,5,6][Heads,Tails] is a depiction of this notation. It is an expression of probability.
The sample space for tossing a coin twice is [HH, HT, TH, TT].
The sample space of tossing a coin is H and T.
The sample space for rolling a die is [1, 2, 3, 4, 5, 6] and the sample space for tossing a coin is [heads, tails].
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.
I do'nt know
An element of the sample space for rolling a die and then tossing a coin could be represented as a pair (D, C), where D is the outcome of the die roll and C is the outcome of the coin toss. For example, if you roll a 3 on the die and then get heads on the coin, the element would be (3, Heads). The complete sample space consists of all possible combinations of die rolls (1 through 6) and coin tosses (Heads or Tails), resulting in 12 total outcomes.
set of all possible result of an experiment or trial is known as sample space and it is denoted by capital s (S). For example Throwing dies we get the sample space of {1,2,3,4,5,6} Tossing a coin we get the sample space, S={H,T}, here H-head and T-tail.
T 4, t 6, h 5 (apex)
The sample space is H1, H2, H3, H4, H5, T1, T2, T3, T4, T5.
(1,2,3,4,5,6][Heads,Tails] is a depiction of this notation. It is an expression of probability.
The sample space when flipping a coin is [heads, tails].
It would be a two dimensional vector whose first component is a possible outcome of tossing the coin and the second is the outcome of the roll of the die. It is not possible to answer the question as asked because there is no following list of elements to choose from.