Question

the and Pamela are 2 of 5 members of a band. every week the band picks 2 band members at random to play on their own. what is the probability that the and Pamela are chosen

Answer 1

STEP 1

We need to get the total number of selections attainable. This is given by

$^5C_2=\frac{5!}{3!2!}=\frac{5\times4\times3!}{3!\times2!}=10$

STEP 2

Within the 10 possible selections, a selection of Thea and Pamela appears once making it's probability equal to

$\frac{\#\text{ of selected outcomes}}{\#\text{ of possible outcomes}}\text{ = }\frac{1}{10}$

Therefore, the probability that a selection of Pamela and Thea occurs is 1/10