Question 7

Combination

To determine the possible voting outcomes when eight voters can choose from three candidates, the combination statistical rule is applicable. This method calculates the different ways voters can select their candidates, considering that each voter can choose only one candidate.

A) Bayes theorem

Bayes theorem is used for calculating conditional probabilities and does not apply in this context where we are simply counting the number of ways to vote for candidates. It is more suited for situations involving prior knowledge and updating probabilities based on new information.

B) Combination

The combination rule is correct as it accounts for the various ways in which the eight voters can cast their votes among the three candidates. This statistical method allows us to compute the total outcomes without regard to the order of votes, which is essential in this voting scenario.

C) Multiplication principle

The multiplication principle is not suitable here because it applies to scenarios where choices are independent and sequential. In this case, while voters are making independent choices, we are interested in the collective outcomes which are better represented by combinations.

D) Conditional probability

Conditional probability is relevant when assessing the likelihood of an event given the occurrence of another event. This concept does not directly apply to calculating the number of possible voting outcomes among candidates without additional conditional factors.

Conclusion

The combination rule is the most appropriate choice for determining the possible voting outcomes in this scenario, as it effectively captures the essence of voters selecting from multiple candidates. Other options fail to address the core requirement of counting distinct voting configurations among the voters, making them unsuitable for this context.