A class consists of 50 students, 20 of them are girls and boys, 10 them are rich and remaining poor, 5 of them are fair complxioned, 3 are intelligent. What is the probability of selecting a fair complexioned rich intelligient girl?
Proofread your questions before you post them.
"20 of them are girls and boys"?
I will asume 20 are girls and 30 are boys.
P(fair) = 5/50
p(rich) = 10/50
p(IQ) = 3/50
P(girl) = 20/50
Probability of all events occurring is found by multiplying the individual probabilities.
.25
.125
.312
.687
To find the probability of selecting a fair complexioned rich intelligent girl, we need to determine the number of fair complexioned, rich, intelligent girls in the class and divide it by the total number of students in the class.
Given information:
- Total number of students = 50
- Number of girls = 20
- Number of boys = 20
- Number of rich students = 10
- Number of poor students = 40
- Number of fair complexioned students = 5
- Number of intelligent students = 3
Since we know the total number of students, we can start by finding the number of girls who are fair complexioned, rich, and intelligent.
Since each condition is independent, we multiply the probabilities of each condition together to get the final probability.
1. Probability of selecting a girl: There are 20 girls out of 50 students, so the probability of selecting a girl is 20/50 or 2/5.
2. Probability of selecting a girl who is fair complexioned: There are 5 fair complexioned students out of 50, so the probability is 5/50 or 1/10.
3. Probability of selecting a girl who is rich: There are 10 rich students out of 50, so the probability is 10/50 or 1/5.
4. Probability of selecting a girl who is intelligent: There are 3 intelligent students out of 50, so the probability is 3/50.
Multiplying the probabilities together:
(2/5) * (1/10) * (1/5) * (3/50) = 3/1250
So, the probability of selecting a fair complexioned, rich, intelligent girl from the class is 3/1250.