This table shows how many male and female students attended two different movies. What is the probability that a randomly chosen person from this group is female?
Round your answer to two decimal places.
\begin{tabular}{|l|c|c|c|} \hline & Action & Drama & Total \\ \hline Male & 105 & 124 & 229 \\ \hline Female & 99 & 151 & 250 \\ \hline Total & 204 & 275 & 479 \\ \hline \end{tabular}
A. 0.25
B. 0.21
C. 0.52
D. 0.43
Answer (1)
Calculate the probability of a randomly chosen person being female.
Divide the number of female students by the total number of students: 479 250 .
The result of the division is approximately 0.522.
Round the probability to two decimal places: 0.52 .
Explanation
Understand the problem We are given a table that shows the number of male and female students who attended two different movies. We need to find the probability that a randomly chosen person from this group is female.
Identify the necessary values To find the probability, we need to divide the number of female students by the total number of students. From the table, we can see that there are 250 female students and a total of 479 students.
Calculate the probability Now, we calculate the probability: Probability = Total number of students Number of female students = 479 250
Round the answer 479 250 ≈ 0.522
Rounding this to two decimal places, we get 0.52.
Examples
In a school event, you might want to estimate how many female students are likely to participate based on the overall attendance. Knowing the probability of a randomly selected student being female helps in planning activities and resources accordingly. For instance, if you expect 500 students, you can estimate around 500 × 0.52 = 260 female students might attend, helping in organizing gender-specific facilities or activities.
