Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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 solve this problem, we need to find the probability that a randomly chosen person from this group is male. Here's a step-by-step approach:

1. Determine the total number of people:
The total number of people is given as 479. This is the sum of all males and females.

2. Determine the total number of males:
From the table, we see that the total number of males is 229.

3. Calculate the probability:
The probability that a randomly chosen person is male can be calculated using the formula:

[tex]\[ \text{Probability of male} = \frac{\text{Number of males}}{\text{Total number of people}} \][/tex]

4. Substitute the numbers into the formula:

[tex]\[ \text{Probability of male} = \frac{229}{479} \][/tex]

5. Simplify and convert to decimal form:
Performing the division, we get approximately 0.4780793319415449.

6. Round the answer to two decimal places:
Rounding 0.4780793319415449 to two decimal places gives us 0.48.

Therefore, the probability that a randomly chosen person from this group is male, rounded to two decimal places, is 0.48.

So, the correct answer is B. 0.48.