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A probability experiment is conducted in which the sample space of the experiment is S= {6,7,8,9,10,11,12,13,14,15,16,17.Let event E={6,7,8,9,10,11,12,13} Assume each outcome is equally likely. List the outcomes in Ec. Find P (Ec)

Sagot :

JeanaShupp

Answer: [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given: S = {6,7,8,9,10,11,12,13,14,15,16,17}

E={6,7,8,9,10,11,12,13}

[tex]E^c=[/tex] Event having all elements of S other than E.

[tex]={14, 15 , 16, 17}[/tex]

[tex]P(E^c)=\dfrac{\text{Elements in }E^c}{\text{Elements in }S}\\\\=\dfrac{4}{12}\\\\=\dfrac{1}{3}[/tex]

Hence, [tex]P(E^c)=\dfrac{1}{3}[/tex]

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