text: probability? box 1 contains 4 white balls 2 black balls  box 2 contains 6 white balls, 5 black balls  a ball is picked from each box what are the chances both the boxes are black? chance of the first ball being black is 2/6 or 1/3. chance of the second ball being black is 5/11. 1/3 x 5/11 is 5/33 or about a 15% chance of both being black. to be specific, probablity is 15.15 repeating chance of drawing two black balls, one from each box.