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 = {3, 10}. p(e) = □ (type an integer or a decimal. do not round.)

Explanation:

Step1: Determine number of elements in E

The event E = {3, 10}, so $n(E)=2$.

Step2: Determine number of elements in S

The sample - space S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, so $n(S)=10$.

Step3: Use probability formula

The probability formula for an event E in a sample - space S with equally likely outcomes is $P(E)=\frac{n(E)}{n(S)}$. Substituting the values, we get $P(E)=\frac{2}{10}=0.2$.

Answer:

0.2