Question

Below, the two-way table is given for a class

of students.
Sophomore
Male
Female
Total
Freshmen
4
3
6
4
Juniors
2
6
Seniors Total
2
3
If a female student is selected at random, find the
probability that the student is a senior.
P(Senior | Female ) = [ ? ]%
Round to the nearest whole number.

Answer 1

19%

Explanation:

You want the probability a student is a senior, given that they are female.

Table

The table indicates that 3 +4 +6 +3 = 16 students are female. Of those, 3 are seniors. The desired probability is ...

P(senior | female) = N(senior & female)/N(senior) = 3/16 = 0.1875

The probability that a female student is a senior is about 19%.

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