Question

In County A 50% of the registered voters are Democrats, 30% are Republicans, and 20% are Independents. During a recent election, 35% of the Democrats voted, 65% of the Republicans voted, and 75% of the Independents voted.

a) What is the probability that a randomly selected registered voter from County A voted in the recent election?

b) If a randomly selected registered voter from County A voted in the recent election, what is the probability that the voter is a Republican?

c) If a randomly selected registered voter from County A did not vote in the recent election, what is the probability that the voter is an Independent?

Answer 1

# Assume that the total Registered voters in country A = 100 Given that, sot of register vorters are Democrats 30.% of register volers are Republicians 2017 " Independents. then Total Democrats voters = 50% of 100 =50 Total Republician volers = 30.4. of 100 = 30 Total Independent voters = 20% of 100 = 20 During a recent elections ; No. of voters voted by democrats= 35% of 50 = 35x50 = 11.5 ? 10 voters. No.of voters voted by Repubilicom = 65.1 of 30 = 65 x 30 = 19,5 No. of volers voted by Independent = 75% of 2o 100 = 75x20 = 15 a Total no. of voters voted in a recent election = 17.5 +19.5+15 =52 Probability that a randomly selected registered voter from contry a voted in recent election = 52 = 0-52. b) We have to tell no. of voter that voted in a recent election=52. Probability that a voler is Republicain - 15 = 0; 208 20:29 100 52

c) No. of voters that did not voted in recent election = Total Regesler volers – No. of verter that voted in recent election = 100-52 =58. No of voters did not voted in recent election is Independenta Total No. of vorers in Independents - No. Of voreos vored in Indepent in recent election. = 20-15 =5 probabitity that voter did not vote in recent election is an independent =s = 0.006 { 0.09