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

The probability that the coin will land on an area that is white is
`(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*7`

Area of one part of rug is

`A'_(1)=3.5*3.5`

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

Using formula of probability

`P=(Area\of\ white\ part)/(Area\of\ total\ rug)`

Put the value into the formula

`P=((3.5*3.5)+(3.5*3.5))/(7*7)`

`P=(2*3.5*3.5)/(7*7)`

`P=(1)/(2)`

Hence, The probability that the coin will land on an area that is white is
`(1)/(2)`.