STEP 1
We need to get the total number of selections attainable. This is given by
[tex]^5C_2=\frac{5!}{3!2!}=\frac{5\times4\times3!}{3!\times2!}=10[/tex]STEP 2
Within the 10 possible selections, a selection of Thea and Pamela appears once making it's probability equal to
[tex]\frac{\#\text{ of selected outcomes}}{\#\text{ of possible outcomes}}\text{ = }\frac{1}{10}[/tex]Therefore, the probability that a selection of Pamela and Thea occurs is 1/10
