The total number of students is given in the table as \( 1,697,579 \).
The number of male students is given in the table as \( 750,335 \).
The number of students who received a degree in the field is given in the table as \( 266,618 \).
The number of male students who received a degree in the field is given in the table as \( 151,905 \).
Using the formula for the probability of \( A \) or \( B \):
\[
P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B)
\]
where:
- \( P(A) \) is the probability of the student being male.
- \( P(B) \) is the probability of the student receiving a degree in the field.
- \( P(A \text{ and } B) \) is the probability of the student being male and receiving a degree in the field.
Calculate each probability:
\[
P(A) = \frac{750,335}{1,697,579}
\]
\[
P(B) = \frac{266,618}{1,697,579}
\]
\[
P(A \text{ and } B) = \frac{151,905}{1,697,579}
\]
Now, plug these values into the formula:
\[
P(A \text{ or } B) = \frac{750,335}{1,697,579} + \frac{266,618}{1,697,579} - \frac{151,905}{1,697,579}
\]
Simplify the expression:
\[
P(A \text{ or } B) = \frac{750,335 + 266,618 - 151,905}{1,697,579} = \frac{865,048}{1,697,579}
\]
\[
P(A \text{ or } B) = \frac{865,048}{1,697,579} \approx 0.510
\]
The probability is \( 0.510 \) (rounded to three decimal places).