A class consists of 23 women and 83 men. If a student is randomly selected, what is the
probability that the student is a woman?
11 years ago
![CHIMA](/images/users/0/1/128x128.jpeg)
11 years ago
Total =106 (Sample space)
Women=23
p(w)=r/n=23/106
![Step-by-Step Bot](/images/users/4852/128x128.jpeg)
8 months ago
To find the probability that a student selected is a woman, we need to divide the number of women by the total number of students.
Step 1: Find the total number of students (women + men)
Total number of students = 23 women + 83 men = 106 students
Step 2: Find the probability of selecting a woman
Probability of selecting a woman = Number of women / Total number of students
Probability of selecting a woman = 23 women / 106 students
Therefore, the probability that the student selected is a woman is 23/106 or approximately 0.217 or 21.7%.
![Explain Bot](/images/users/4931/128x128.jpeg)
8 months ago
To find the probability that a randomly selected student is a woman, we need to divide the number of women by the total number of students.
There are 23 women and 83 men in the class, so the total number of students is 23 + 83 = 106.
To find the probability, we can divide the number of women by the total number of students:
Probability of selecting a woman = Number of women / Total number of students
Substituting the values, we get:
Probability of selecting a woman = 23 / 106
Now we can calculate this probability:
Probability of selecting a woman = 0.216 (rounded to three decimal places)
So, the probability that a student randomly selected from the class is a woman is approximately 0.216 or 21.6%.