Question

midterm cumulative test
possible points: 5
the table shows the results of a survey of college students. find the probability that a student is taking a humanities class, given that the student is male. round to the nearest thousandth.
first class of the day for college students

	male	female
science	50	80
other	60	70

0.467
0.171
0.389
0.269

Explanation:

Step1: Calculate total male students

$70 + 50+60=180$

Step2: Calculate male students taking humanities

$70$

Step3: Calculate conditional probability

The formula for conditional - probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In this case, the probability that a student is taking a humanities class given that the student is male is $\frac{\text{Number of male students taking humanities}}{\text{Total number of male students}}=\frac{70}{180}\approx0.389$

Answer:

$0.389$