A travel agent is booking a trip to England, Scotland, Ireland, and France for a group of senior citizens. The agent sent surveys to the group, asking which countries they would like to visit, in order, and created the shown preference schedule (E = England, I = Ireland, S = Scotland, F = France). Which country is the Condorcet winner?

number of votes 15 12 16 19

1st F E E I

2nd E S I S

3rd S I S E

4th I F F F

1. Scotland

2. England

3. France

4.Ireland

1

Scotland

Step-by-step explanation:

In the first vote, points are:

France = 15

England = 12 + 16 = 28

Ireland = 19

2nd vote

England = 15

Scotland = 12 + 19 = 31

Ireland = 16

3rd vote

Scotland = 15 + 16 = 31

Ireland = 12

England = 19

4th vote

Ireland = 15

France = 12 + 16 + 19 = 47

At the end of everything

England = 19 + 15 + 28 = 62

France = 15 + 47 = 62

Scotland = 31 + 31 = 62

Ireland = 19 + 16 + 12 + 15 = 62

To find the Condorcet winner, the number of votes for runner over opponent (runner,opponent) is compared with the number of votes for opponent over runner (opponent,runner)  

Only Scotland has the highest (31) points twice.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

d

because parallelagram have all 4 angels the same size dependeing and a rectangle and square are oth parallelogram