Step 1 :Given that there are 40 students in a physics class, of which 16 are physics majors and 17 are female. Among the physics majors, 7 are female.
Step 2 :We are asked to find the probability that a randomly selected student is either a female or a physics major.
Step 3 :The formula for the probability of either of two events A and B happening is \(P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B)\). Here, event A is the student being a female and event B is the student being a physics major.
Step 4 :Substituting the given values into the formula, we get \(P(\text{Female or Physics Major}) = \frac{17}{40} + \frac{16}{40} - \frac{7}{40}\)
Step 5 :Solving the above expression, we get \(P(\text{Female or Physics Major}) = 0.65\)
Step 6 :Final Answer: The probability that a randomly selected student is either a female or a physics major is \(\boxed{0.65}\)