Answer:
The probability that a randomly selected student is female or a physics major is 0.65.
Explanation:
Note: This question is not complete. A complete is therefore provided before answering the question as follows:
A physics class has 40 students. Of these, 14 students are physics majors and 18 students are female. Of the physics majors, six are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is_______.
The Step-by-step explanation is therefore provided now as follows:
The probability that a randomly selected student is female or a physics major can be calculated using the following formula:
P(PM or F) = P(PM) + P(F) - P(PMF)
Where;
P(PM or F) = Probability of student selected is Physics Major or Female = ?
P(PM) = Probability of student selected is Physics Major = Number of Physics Major / Total number of students in the Physics class = 14 / 40 = 0.35
P(F) = Probability of student selected is Female = Number of female students in the Physics class / Total number students in the Physics class = 18 / 40 = 0.45
P(PMF) = Probability of student selected is Physics Major and Female = Number Physics Major that female in the Physics class / Total number students in the Physics class = 6 / 40 = 0.15
Substituting the values into equation (1), we have:
P(PM or F) = 0.35 + 0.45 - 0.15 = 0.65
Therefore, the probability that a randomly selected student is female or a physics major is 0.65.