Question

A survey asking about preference for recess location was randomly given to students in an elementary school. The results are recorded in the table below.A student is randomly selected. Based on the data, what conclusions can be drawn?

Answer 1

Given:

A survey asking about preference for recess location was randomly given to students in an elementary school. And given a table.

The total number of student = 240.

The total number of boys = 160.

Number of boys in indoor recess = 64.

Total number of indoor recess = 96.

Required:

To find the probability of P(Boys) and P(Boy| Indoor recess).

Explanation:

(1)

P(Boy) = Total number of boys / Total number of students.

$\begin{gathered} =\frac{160}{240} \\ \\ =\frac{2}{3} \end{gathered}$

(2)

P(Boy| Indoor recess) = Number of boys in indoor recess / Total number of indoor recess.

$\begin{gathered} =\frac{64}{96} \\ \\ =\frac{2}{3} \end{gathered}$

Final Answer:

(1) P(Boy) = 2/3.

(2) P(Boy| Indoor recess) = 2/3.