Question

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)

Answer 1

Answer: $\dfrac{1}{3}$

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}

$E^c=$ Event having all elements of S other than E.

$={14, 15 , 16, 17}$

$P(E^c)=\dfrac{\text{Elements in }E^c}{\text{Elements in }S}\\\\=\dfrac{4}{12}\\\\=\dfrac{1}{3}$

Hence, $P(E^c)=\dfrac{1}{3}$