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Below, a two-way table is given for student activities:

\begin{tabular}{|c|c|c|c|c|}
\hline & Sports & Drama & Work & Total \\
\hline Sophomore & 20 & 7 & 3 & 30 \\
\hline Junior & 20 & 13 & 2 & 35 \\
\hline Senior & 25 & 5 & 5 & 35 \\
\hline Total & 65 & 25 & 10 & 100 \\
\hline
\end{tabular}

Follow the steps to find the probability that a student is in sports, given that they are a senior.

First, find the probability that a student is a senior.
[tex]\[ P(\text{senior}) = \frac{35}{100} = 0.35 \][/tex]

Now, find the probability that a student is in sports, given that they are a senior.
[tex]\[ P(\text{sports | senior}) = \frac{\text{Number of seniors in sports}}{\text{Total number of seniors}} = \frac{25}{35} \][/tex]

Enter your answer in decimal form. Do not round.
[tex]\[ \boxed{0.714} \][/tex]

Sagot :

GinnyAnsweridn
To determine the probability that a student is a senior, follow these steps:

1. Identify the total number of students: 100.
2. Identify the number of senior students: 35.

The probability that a student is a senior is calculated by dividing the number of senior students by the total number of students:
[tex]\[ P(\text{senior}) = \frac{\text{Number of senior students}}{\text{Total number of students}} = \frac{35}{100} = 0.35 \][/tex]

So, the probability that a student is a senior is:
[tex]\[ P(\text{senior}) = 0.35 \][/tex]
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