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Question 3 of 10

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?

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. 0.23
B. 0.48
C. 0.11
D. 0.43


Sagot :

To determine the probability that a randomly chosen person from this group is male, we will follow these steps:

1. Identify the total number of male students:
From the table, the total number of male students is 229.

2. Identify the total number of students:
The total number of students, which includes both male and female students, is 479.

3. Calculate the probability:
The probability of selecting a male student is the number of male students divided by the total number of students. Mathematically, this can be expressed as:
[tex]\[ P(\text{Male}) = \frac{\text{Number of Male Students}}{\text{Total Number of Students}} \][/tex]

4. Substitute the known values:
Substitute the numbers into the probability formula:
[tex]\[ P(\text{Male}) = \frac{229}{479} \][/tex]

5. Simplify and round the result to two decimal places:
Calculating this fraction yields approximately 0.4781. Rounded to two decimal places, the probability is 0.48.

So, the probability that a randomly chosen person from this group is male is:
[tex]\[ \boxed{0.48} \][/tex]

Thus, the correct answer is:
[tex]\[ \boxed{B} \][/tex]
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