Two symmetric dice flipped with each dice having two sides painted red, two painted black, one painted yellow and the other painted white. What is the probability that both land on the same colour?

Step-by-step solution

Sides of dice =R, R, B, B, Y, W aligned & Total events with dice =6 6=36 & Favourable events = ^2 C ₁ ^2 C ₁+ ^2 C ₁ ^2 C ₁+ ^1 C ₁ ^1 C ₁ & + ^1 C ₁ ^1 C ₁ aligned =4+4+2+2=10 Probability = 10 36 = 5 18