A class consists of 85 women and 42 men. If a student is randomly selected, what is the probability that the student is a woman?
A. $\frac{85}{127}$
B. $\frac{1}{127}$
C. $\frac{42}{127}$
D. $\frac{85}{42}$
Answer
Final Answer: The probability that the student is a woman is \(\boxed{\frac{85}{127}}\).
Step 1 ：The class consists of 85 women and 42 men, making a total of 127 students.
Step 2 ：The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes.
Step 3 ：In this case, the event is selecting a woman and the total number of outcomes is the total number of students in the class.
Step 4 ：So, we need to divide the number of women by the total number of students.
Step 5 ：This gives us a probability of \(\frac{85}{127}\) or approximately 0.67.
Step 6 ：Final Answer: The probability that the student is a woman is \(\boxed{\frac{85}{127}}\).
