Each face of a cube is painted either Red or Blue, each with probability 1/2. The color of each face is determined independently. What is the probabilty that the painted cube can be faced on a horizontal surface so that the four vertical faces are all the same color?
there can be 64 different color cubes 2x2x2x2x2x2x2 ?
case 1 when the cube is all red or blue it will work - 2/64
I couldn't think of the cases...
Could someone just give me some hints on the cases I have to set up?