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 moderate​, given they have attended college.

Liberal
Moderate
Conservative
High School only
14
15
21
College
12
16
22
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Part 1
The probability that a randomly selected person from this group is moderate​, given they have attended college​, is
  
enter your response here.
​(Type an integer or a simplified​ fraction.)

1 answer

To find the probability that a randomly selected person from this group is moderate, given they have attended college, we need to calculate the proportion of moderates among those who have attended college.

The total number of people who have attended college is 12 + 16 + 22 = 50.
The number of moderates among those who have attended college is 16.

Therefore, the probability that a randomly selected person from this group is moderate, given they have attended college, is 16/50 = 8/25.