There is a die with two sides painted yellow two sides paint

There is a die with two sides painted yellow, two sides painted green, and two sides painted blue. I roll one die and my friend rolls another die. What is the probability that I get a green side or my friend gets a yellow side?

Solution

When die throwing

       Outcomes:              Yello               Gren         Blue

       Probabilities             2/6 = 1/3       2/6 = 1/3         2/6 =1/3

Now

            P(Green on My die and No yellow on my friend die) = (1/3) * (2/3) = 2/9     or

            P(Not Green on My die and Yellow on my friend die) = (2/3) * (1/3) = 2/9     or

            P(Green on My die and yellow on my friend die) = (1/3) * (1/3) = 1/9    

Required probability = 2/9 + 2/9 + 1/9 = 5/9