To find the probability that a randomly selected college student is taking a humanities class given that the student is male, we need additional data regarding how many of the male students are taking a humanities class.
Let’s denote:
- Number of male students taking a humanities class as \( H_m \).
- Total number of male students as \( T_m = 70 \).
- Total number of female students as \( T_w = 80 \).
The probability we want to determine is
\[ P(H | M) = \frac{H_m}{T_m} \]
where \( P(H | M) \) is the probability of taking a humanities class (H) given that the student is male (M).
Without the exact number of male students taking a humanities class, we can't compute the probability. Please provide more information about how many male students are taking a humanities class.