In the Fig. below, 13, a square dart board is shown. The length of a s

1.	In the Fig. below, 13, a square dart board is shown. The length of a side of the larger square is 1.5 times the length of a side of the smaller square. If a dart is thrown and lands on the larger square. What is the probability that it will land in the interior of the smaller square?
Answer» Let length of side of smaller square = a Then length of side of bigger square = 1.5a Area of smaller square = a² Area of bigger square = (1.5)²a² = 2.25a². Probability that dart will land in the interior of the smaller square = (Area of smaller square)/(Area of bigger square) = a²/2.25a² = 1/2.25 ∵ Geometrical probability, P(E) = (measure of specified region part)/(measure of the whole region)

In the Fig. below, 13, a square dart board is shown. The length of a side of the larger square is 1.5 times the length of a side of the smaller square. If a dart is thrown and lands on the larger square. What is the probability that it will land in the interior of the smaller square?

Answer»

Let length of side of smaller square = a

Then length of side of bigger square = 1.5a

Area of smaller square = a²

Area of bigger square = (1.5)²a² = 2.25a².

Probability that dart will land in the interior of the smaller square = (Area of smaller square)/(Area of bigger square) = a²/2.25a² = 1/2.25

∵ Geometrical probability,

P(E) = (measure of specified region part)/(measure of the whole region)

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In the Fig. below, 13, a square dart board is shown. The length of a side of the larger square is 1.5 times the length of a side of the smaller square. If a dart is thrown and lands on the larger square. What is the probability that it will land in the interior of the smaller square?

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