Question

Let the sample space be S={1,2,3,4,5,6,7,8,9,10}.Suppose the outcomes are equally likely. Compute the probability of the event E={2,6,10}.

Answer 1

Since $|S|=10$ and the outcomes are equally likely, then

$P(\{i\})=\frac{1}{10}$ for $i=1,...,10$.

Since $|E|=3$, then $P(E)=3\cdot\frac{1}{10}=0.3.$

Answer: $P(E)=0.3$.