Question

Two symmetric dice have had two of their sides painted red, two sides painted black, one painted yellow and the other painted white. When this pair of dice rolled, what is the probability that both dice land with same color face up$?$

Short answer

The probability that both dice land with same color face up is$0.2778$

Step-by-step solution

Step 1

both the dice land on red sides in $2\times 2=4$cases,

both the dice land on black sides in $2\times 2=4$cases,

both the dice land on yellow and white sides in $1$case each.

Total number of such cases is $10$.

Total number of outcomes of dice is 36

Thus, the probability is$\raisebox{1ex}{$10$}\!\left/ \!\raisebox{-1ex}{$36$}\right.=0.2778$