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. 0.21
B. 0.52
C. 0.25
D. 0.43



Answer :

To determine the probability that a randomly chosen person from the given group is female, we need to follow these steps:

1. Identify the total number of people in the group: According to the table, the total number of people is 479.

2. Identify the total number of females in the group: The table indicates that there are 250 females.

3. Calculate the probability of selecting a female: The probability of an event happening can be calculated using the formula:
[tex]\[ P(\text{Female}) = \frac{\text{Number of females}}{\text{Total number of people}} \][/tex]
Plugging in the numbers from the table:
[tex]\[ P(\text{Female}) = \frac{250}{479} \][/tex]

4. Simplify the fraction and convert it to a decimal: When you divide 250 by 479, you get approximately 0.5219206680584552.

5. Round the decimal to two decimal places: The precise value of 0.5219206680584552 rounds to 0.52 when rounded to two decimal places.

Thus, the probability that a randomly chosen person from this group is female is approximately 0.52.

Therefore, the correct answer is:

B. 0.52