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The sample space, S, for flipping a fair coin three times is shown
below.
S = {HHH, THH, HTH, HHT, TTH, THT, HTT, TTT)
What is the probability of obtaining heads at least once?
1) 3/8. 2) 7/8. 3) 1/8. 4) 1/2

Respuesta :

Answer: [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

Given

Sample space is [tex]={HHH,THH,HTH,HHT,TTH,THT,HTT,TTT}[/tex]

There are 8 element in sample space which indicates the outcome of tossing a coin three times

Probability of obtaining at least one head[tex]=1-P(\text{0 head})[/tex]

[tex]P(\text{0 head})=P(\text{All tails})[/tex]

[tex]P=1-\frac{1}{8}[/tex]

[tex]P=\frac{7}{8}[/tex]

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