Answer:
The probability that a randomly selected point within the circle falls in the red shaded area is 1/3 or 0.33.
Explanation:
1. Let's review all the information provided for answering correctly the question:
Degrees of the red shaded area = 60° * 2 = 120°
Degrees of the circle = 360°
2. Let's find out the probability that a randomly selected point within the circle falls in the red shaded area.
Let's recall that any full circle has 360 degrees and the shaded area measures 120 degrees.
Thus,
Probability that a randomly selected point within the circle falls in the red shaded area = 120/360
Probability that a randomly selected point within the circle falls in the red shaded area = 1/3 = 0.33