calculate the probability that a randomly selected student is a female if they are at most 30 years of age, there are 27 females out of 57 students.
To calculate the probability that a randomly selected student is a female if they are at most 30 years of age, you will need to use the concept of conditional probability.
The conditional probability is the probability of an event happening given that another event has already occurred. In this case, we want to find the probability of selecting a female student, given that the student is at most 30 years of age.
To calculate this probability, you need to divide the number of female students who are at most 30 years of age by the total number of students who are at most 30 years of age.
Let's break down the steps:
Step 1: Find the number of females who are at most 30 years old. You mentioned that there are 27 females in the group of 57 students, but you didn't specify how many of those females are at most 30 years old. If you have that information, substitute it here.
Step 2: Find the total number of students who are at most 30 years old. If this information is not provided, you will need to gather it from the available data.
Step 3: Divide the number of females who are at most 30 years old by the total number of students who are at most 30 years old. This will give you the probability of randomly selecting a female from that subgroup.
For example, if you know that there are 12 female students who are at most 30 years old, and the total number of students who are at most 30 years old is 40, the probability would be:
Probability = Number of female students at most 30 years old / Total number of students at most 30 years old
= 12 / 40
= 0.3
= 30%
Therefore, the probability that a randomly selected student is a female, given that they are at most 30 years of age, is 30%.