Problem

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. $\frac{85}{42}$

Solution

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 \(\boxed{\frac{85}{127}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/WYhnFK7GLf/

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