The table shows differences in political ideology, by education, for a random sample of voters. Find the probability that a randomly selected person from this group is conservative, given they have attended college.
Liberal
Moderate
Conservative
High School only
12
13
20
College
10
17
28
To find the probability that a randomly selected person from this group is conservative given they have attended college, we would calculate:
P(Conservative | College) = Number of conservatives who attended college / Number of people who attended college
P(Conservative | College) = 28 / (10 + 17 + 28) = 28 / 55 = 0.5091
Therefore, the probability that a randomly selected person from this group is conservative, given they have attended college, is approximately 0.5091 or 50.91%.