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=(5!)/(3!2!)=(5*4*3!)/(3!*2!)=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{ = }(1)/(10)`

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