In last year's mayoral election in Smallville, voters' ballots were tabulated.
Democrat
Male-10
Female-35
Republican
Male- 20
Female-25
Independent
Male- 50
Female- 90
a. What is the probability that the person selected is a female?
There are a total of 220 voters. The number of females is 35+25+90 = 150.
The probability of selecting a female is 150/220 = 0.6818 or approximately 68.18%.
To find the probability that the person selected is a female, we need to calculate the total number of females and divide it by the total number of voters.
The total number of females is 35 (Democrat) + 25 (Republican) + 90 (Independent) = 150.
The total number of voters is 10 (Democrat male) + 35 (Democrat female) + 20 (Republican male) + 25 (Republican female) + 50 (Independent male) + 90 (Independent female) = 230.
Therefore, the probability that the person selected is a female is 150/230, which simplifies to approximately 0.652 or 65.2%.