Problem

5.4.3 Quiz: Two-Way Frequency Tables 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 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. 0.45 B. 0.12 C. 0.54 D. 0.26 PREVIOUS

Solution

Step 1 :The given table shows the number of male and female students who attended two different movies, action and drama.

Step 2 :We are asked to find the probability that a randomly chosen person from this group is male and attended a drama.

Step 3 :From the table, we can see that the number of males who attended a drama is 124 and the total number of people is 479.

Step 4 :The probability is calculated by dividing the number of males who attended a drama by the total number of people.

Step 5 :Using the formula for probability, \( P = \frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}} \)

Step 6 :Substituting the given values into the formula, we get \( P = \frac{124}{479} \)

Step 7 :Calculating the above expression, we get P = 0.26

Step 8 :Final Answer: The probability that a randomly chosen person from this group is male and attended a drama is \(\boxed{0.26}\)

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