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BULLS' EYE- Students A, B & C 5

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SidYuca

Technical User
Nov 13, 2008
79
MX
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."
 
Interesting thread. I'm reminded of the difference between white and pink noise...

An unforeseen consequence of the information revolution has been the exponential propagation of human error.
 
Head-Tails Odd-Evans If I toss a coin ONCE it 1:1.

So if (P) was a dart and you toss it Once it will be in ether to black or white area. So if we limit the dart to a line from centre (0) to A-B then it will be 1:1 it will land in either black or white so "B" is correct for a line

Never give up never give in.

There are no short cuts to anything worth doing :)
 
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