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