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A social media company tracked the professions of 290 users who watched different types of videos and displayed the data in a table.

\begin{tabular}{|c|c|c|c|c|}
\hline & Beauty Tips & Contests & Interviews & Reveals \\
\hline Artist & 31 & 5 & 11 & 16 \\
\hline Student & 29 & 15 & 19 & 14 \\
\hline Engineer & 12 & 17 & 21 & 17 \\
\hline Nurse & 8 & 23 & 29 & 23 \\
\hline
\end{tabular}

Determine the empirical probability that a person who watched videos was a student watching reveals.

A. 0.200
B. 0.182
C. 0.048
D. 0.014

Sagot :

To solve the problem of determining the empirical probability that a person who watched videos was a student watching reveals, follow these steps:

1. Identify the total number of users who watched any type of videos: The problem states that this value is 290.

2. Identify the number of students who watched reveals: From the provided table, 14 students watched reveals.

3. Calculate the empirical probability: The empirical probability is found by dividing the number of specific occurrences (students watching reveals) by the total number of users.

The mathematical expression for this is:
[tex]\[ \text{Empirical Probability} = \frac{\text{Number of students watching reveals}}{\text{Total number of users}} \][/tex]
[tex]\[ \text{Empirical Probability} = \frac{14}{290} \][/tex]

4. Interpreting the Probability: Evaluating the fraction gives us the empirical probability:
[tex]\[ \frac{14}{290} \approx 0.048 \][/tex]

Given the choice options:
- 0.200
- 0.182
- 0.048
- 0.014

The correct empirical probability is approximately 0.048. Hence, the answer to the question is:

[tex]\[ \boxed{0.048} \][/tex]