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Consider the following. (Assume that the coins are distinguishable and that what is observed are the faces or numbers that face up.) Three coins are tossed; the result is at most one tail. What sets of elements are included in the sample space?

Respuesta :

okpalawalter8

Answer:

a)  [tex]P(<1)=(HHH,HHT,HTH,THH)[/tex]

b)  [tex]n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).[/tex]

Step-by-step explanation:

From the question we are told that:

3 coin are tossed

Therefore

Sample space [tex]n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).[/tex]

Generally the sets that correspond with the result of at most one tail is therefore given as follows

[tex]P(<1)=(HHH,HHT,HTH,THH)[/tex]

Therefore

The result is at most one tail when

[tex]P(<1)=(HHH,HHT,HTH,THH)[/tex]

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