The probability of landing on the shaded area is P = 0.306
How to find the probability?
The probability of landing on the shaded area is equal to the quotient between the shaded area and the total area of the circle.
We know that the complete circle has an angle of 360°. We can see that the non-shaded areas have an angle of: 68° + 92° + 90° = 250°
Then the total angle of the shaded region is:
360° - 250° = 110°
The area is proportional to the angle, so the quotient of the areas is equal to the quotient of the angles, then we can write the probability as:
P = (110°/360°) = 0.306
If you want to learn more about probability:
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