Answered

Experience the power of community-driven knowledge on IDNLearn.com. Get step-by-step guidance for all your technical questions from our knowledgeable community members.

The table below shows data about student involvement in extracurricular activities at a local high school. What is the probability that a randomly chosen student is male and involved in extracurricular activities?

\begin{tabular}{|c|c|c|c|}
\hline & Involved in Activities & Not Involved in Activities & Totals \\
\hline Male & 112 & 145 & 257 \\
\hline Female & 139 & 120 & 259 \\
\hline Totals & 251 & 265 & 516 \\
\hline
\end{tabular}

Sagot :

GinnyAnsweridn
To determine the probability that a randomly chosen student is a male who is involved in extra-curricular activities, we need to follow these steps:

1. Identify the number of male students involved in extra-curricular activities: According to the table, this number is [tex]\(112\)[/tex].

2. Identify the total number of students: The table shows that there are [tex]\(516\)[/tex] students in total (sum of all students in the table).

3. Calculate the probability: Probability is found by dividing the number of favorable outcomes (male students involved in activities) by the total number of possible outcomes (total students).

[tex]\[ \text{Probability} = \frac{\text{Number of male students involved in activities}}{\text{Total number of students}} = \frac{112}{516} \][/tex]

4. Express the probability as a decimal: Dividing 112 by 516 gives approximately [tex]\(0.217\)[/tex].

Therefore, the probability that a randomly chosen student is a male who is involved in extra-curricular activities is approximately [tex]\(0.217\)[/tex].
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.