Question

A 7-by-7 foot rug is shown. A coin is tossed onto the rug randomly. Which of these describes the probability that the coin will land on an area that is white? *

Answer 1

Answer :

The probability that the coin will land on an area that is white is $\dfrac{1}{2}$

Explanation :

Given that,

A 7-by-7 foot rug is shown in figure.

Suppose, all parts are equal.

The area of rug is

$A_{r}=7\times7$

Area of one part of rug is

$A'_{1}=3.5\times3.5$

We need to calculate the probability that the coin will land on an area that is white

Using formula of probability

$P=\dfrac{Area\of\ white\ part}{Area\of\ total\ rug}$

Put the value into the formula

$P=\dfrac{(3.5\times3.5)+(3.5\times3.5)}{7\times7}$

$P=\dfrac{2\times3.5\times3.5}{7\times7}$

$P=\dfrac{1}{2}$

Hence, The probability that the coin will land on an area that is white is $\dfrac{1}{2}$.