Two identical cubes if one of them is painted pink on its 4 sides and blue on the remaining two side then how many faces painted pink to other cube so that probability of getting the same color is 1/3 when we roll both the cubes.  Choose the most appropriate option.
A) 3	B) 0	C) 8	D) 7	E) 1
Explanation:   First cube has got 4 pink sides and 2 black sides.   Let the other cube got x sides pink and (6 - x) sides black.   Now when we roll both the dice, we can either pink on both cubes or black on both cubes.   Probability = 46×x6+26×6−x6=1346×x6+26×6−x6=13   =4x+12−2x36=13=4x+12−2x36=13   ⇒x=0⇒x=0   So second cube should not have any pink faces at all.   Answer:0
<result>B</result>
Two identical cubes if one of them is painted pink on its 4 sides and blue on the remaining two side then how many faces painted pink to other cube so that probability of getting the same color is 1/3 when we roll both the cubes.