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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.
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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.
