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xeze [42]
3 years ago
12

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? *
Mathematics
1 answer:
Galina-37 [17]3 years ago
8 0

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}.

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