In a certain town,30% of eligible voters are Democrats,40% are Republicans,and the rest are Independents.In the last election,20% of the Democrats,10% of the Republicans,and 30% of the Independents voted.If an eligible voter is chosen at random,what is the probability that he or she is a Republican who voted?
A) 0.4
B) 0.06
C) 0.12
D) 0.04
E) 0.1

Question

Quizplus · Accepted Answer

Assuming the population of eligible voters is 100, then:
- 30 of them are Democrats
- 40 of them are Republicans
- The rest (30%) are Independents (which means 30 voters in this case)
- 20% of 30 Democrats voted, which is 6 voters
- 10% of 40 Republicans voted, which is 4 voters
- 30% of 30 Independents voted, which is 9 voters
So the total number of voters is 6 + 4 + 9 = 19, and the probability of choosing a Republican who voted is 4/100 or 0.04. Therefore, the answer is D).

In a Certain Town,30% of Eligible Voters Are Democrats,40% Are