Answer :
The probability that the coin will land on an area that is white is [tex]\dfrac{1}{2}[/tex]
Explanation :
Given that,
A 7-by-7 foot rug is shown in figure.
Suppose, all parts are equal.
The area of rug is
[tex]A_{r}=7\times7[/tex]
Area of one part of rug is
[tex]A'_{1}=3.5\times3.5[/tex]
We need to calculate the probability that the coin will land on an area that is white
Using formula of probability
[tex]P=\dfrac{Area\of\ white\ part}{Area\of\ total\ rug}[/tex]
Put the value into the formula
[tex]P=\dfrac{(3.5\times3.5)+(3.5\times3.5)}{7\times7}[/tex]
[tex]P=\dfrac{2\times3.5\times3.5}{7\times7}[/tex]
[tex]P=\dfrac{1}{2}[/tex]
Hence, The probability that the coin will land on an area that is white is [tex]\dfrac{1}{2}[/tex].
