This happened in a class. What would you, as a good understanding teacher say to each student, A, B, and C?
Consider two concentric circles with center at O, where the radius of the smaller circle (interior is Black) = 1 and the first drawn larger circle with white interior having radius = 2.
What is the probability that if a point, P, is selected in the larger circle that it is also in the smaller one?
ANSWERS
Student A: "1/4 considering the areas my answer appears correct."
Student B: "1/3 Considering areas my answer appears correct."
Student C: "1/2 Consider drawing the radius OB of the larger circle which passes through point P and intersects the smaller circle at A. Since OA = AB and P is on one of them, my answer appears correct."
Consider two concentric circles with center at O, where the radius of the smaller circle (interior is Black) = 1 and the first drawn larger circle with white interior having radius = 2.
What is the probability that if a point, P, is selected in the larger circle that it is also in the smaller one?
ANSWERS
Student A: "1/4 considering the areas my answer appears correct."
Student B: "1/3 Considering areas my answer appears correct."
Student C: "1/2 Consider drawing the radius OB of the larger circle which passes through point P and intersects the smaller circle at A. Since OA = AB and P is on one of them, my answer appears correct."