A quarter circle with radius R is enclosed within a square with side length R. A circle of radius r lies in the corner and fits snugly inside the square but outside the quarter circle. Assume r is as large as possible. Find r in terms of R

Suppose i pick a jelly bean at random from a box containing one red and eleven blue ones. i record the color and put the jelly bean back in the box. if i do this three times, what is the probability of getting a blue jelly bean each time? (round your answer to three decimal places.)