// Program to solve for probabilities of a specific game.

s = 0

for i=0 to 100
   s = s + i

pe1 = s / 101

println["Projected earnings: " + pe1]

s = 0
for i=0 to 100
{
   if i < pe1      // If projected earnings are less than you'd get from a
      s = s + pe1  // new ball, draw a new ball.
   else
      s = s + i    // Otherwise take it.
}

pe2 = s / 101
println["Projected earnings: " + pe2]

s = 0
for i=0 to 100
{
   if i < pe2
      s = s + pe2
   else
      s = s + i
}

pe3 = s / 101
println["Projected earnings: " + pe3]