IDNLearn.com provides a platform for sharing and gaining valuable knowledge. Our community is here to provide detailed and trustworthy answers to any questions you may have.

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 male and attended a drama?

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. 0.26
B. 0.45
C. 0.54
D. 0.12


Sagot :

To determine the probability that a randomly chosen person from the group is male and attended a drama, follow these steps:

1. Identify the total number of people who attended the drama:
- From the table, we know that 275 people attended the drama in total.

2. Identify the number of males who attended the drama:
- From the table, we see that 124 males attended the drama.

3. Identify the total number of attendees:
- The table lists 479 as the total number of attendees.

4. Calculate the probability:
- The probability of selecting a person who is male and attended the drama is the number of males who attended the drama divided by the total number of attendees.
- Mathematically, this is:
[tex]\[ \text{Probability} = \frac{\text{Number of males who attended the drama}}{\text{Total number of attendees}} = \frac{124}{479} \][/tex]

5. Simplify the fraction and round to two decimal places:
- Calculating this fraction yields approximately 0.2588726513569937.
- Rounding this to two decimal places, we obtain 0.26.

Thus, the probability that a randomly chosen person from this group is male and attended a drama is 0.26.

So, the correct answer is:
A. 0.26