Remember that the strategy has to give any group an equal probability of being selected.
See solution.
Practice makes perfect
We are told that a drama club in some school consists of 24 members. The advisor needs to randomly choose 8 of them to help patrons find their seats before a play at a local theater. One way of doing so is the advisor preparing slips of papers with the names of the students. Let's write a random name for an example.
After that, the advisor puts all the slips of papers into a nontransparent bag and shuffles them. Then, to select the members he or she draws 8 names from the bag without looking. Note that this strategy gives each group of 8 members an equal probability of being selected. Therefore, the strategy is fair.
Extra
Calculating the Probability
Let's calculate the probability that a particular group of 8 out of 24 members is chosen. Note that the order of selected members is not important. Therefore, we will calculate the number of all possibilities using combinations. _(24)C_8 = 735 471
Assuming that the advisor chooses the slips of paper randomly, each group of 8 members has following chances of being selected.
P(group) = 1/735 471 ≈ 0.00000136%
