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Step-by-step explanation:

The Probability that a dart will hit a spot in the shaded circle is 25%.

What is Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.

Here,

Area of Circle = πr²

radius of bigger circle = 6 cm

Area of bigger Circle = π X 6²

                                   = 36π sq. cm

radius of smaller circle = 3 cm

Area of small circle = π X 3²

                                =  9π sq. cm

Probability = Small circle / bigger circle

                  = 9π / 36π

                  = 1/4

                  = 0.25 or 25%

Thus, the Probability that a dart will hit a spot in the shaded circle is 25%.

Learn more about Probability from:

https://brainly.com/question/11234923

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