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.

Question

Liberal
Moderate
Conservative
High School only
12
13
20
College
10
17
28

Answer 1

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%.