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| For The Mathematically Inclined |
Anil Saigal
03/24/2006
FOR CHILDREN ------------------------------------------------------------------------------------------------------------- SOLUTIONS TO PROBLEMS ON 03/23/06 SOLUTION FOR GROWNUPS SOLUTION
PROBLEM # 1
Two dice are thrown, what is the probability that there is at least one 4 showing?
FOR GROWNUPS
PROBLEM # 2
In Figure 1, the rectangle at the corner measures 2 cm x 4 cm. What is the radius of the circle in cm?
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FOR CHILDREN
PROBLEM # 1
A digital watch displays hours and minutes with AM and PM. What is the largest possible sum of the digits in the display?
23.
PROBLEM # 2
A
circle of radius 'r' is concentric with and outside a regular hexagon
of side length 2. The probability that three entire sides of the
hexagon are visible from a randomly chosen point on the circle is 0.5.
What is 'r'?
Sqrt(48) or 6.92.
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Figure 1