Question

Can someone help me with this geometry question?The first box has three options: 0.50,0.75, and 0.67The second box has three options: 0.50,0.75, and 0.67

Answer 1

Given:

Required:

To find

$\begin{gathered} P(Boy) \\ P(Boy\text{ / Indoor recess\rparen} \end{gathered}$

Explanation:

(1) The total number of students = 240

Number of boys = 160

The probability of an event is given by the formula:

$P=\frac{Number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

Thus

$\begin{gathered} P(Boy)=\frac{160}{240} \\ P(Boy)=\frac{2}{3} \\ P(Boy)=0.666 \\ P(Boy)\approx0.67 \end{gathered}$

(2) The total number of students in indoor recess = 64+32 = 96

Number of boys in indoor recess = 64

Thus

$\begin{gathered} P(Boy\text{ / Indoor recess\rparen= }\frac{64}{96} \\ P(Boy\text{ / Indoor recess\rparen=0.666} \\ P(Boy\text{ / Indoor recess\rparen}\approx0.67 \end{gathered}$

Final Answer:

$\begin{gathered} P(Boy)=0.67 \\ P(Boy\text{ / Indoor recess\rparen=0.67} \end{gathered}$