Question

extension problem
what is the probability that a random snowball thrown at the sign below lands in the red section?

Explanation:

Step1: Calculate area of red - section

The red - section is a rectangle with length 3 and width 2. The area formula for a rectangle is $A = l\times w$. So the area of the red - section $A_{red}=3\times2 = 6$.

Step2: Calculate area of the whole sign

The whole sign is a rectangle with length 8 and width 5. Using the area formula $A = l\times w$, the area of the whole sign $A_{total}=8\times5=40$.

Step3: Calculate the probability

The probability $P$ that a snow - ball lands in the red section is given by the ratio of the area of the red section to the area of the whole sign. So $P=\frac{A_{red}}{A_{total}}=\frac{6}{40}=\frac{3}{20}$.

Answer:

$\frac{3}{20}$