What is the probability of spinning both spinners to get a s

What is the probability of spinning both spinners to get a sum of 6?

Solution

Let

A = the result of the left wheel
B = result of right wheel

Thus, to get a sum of 6,

P(6) = P(A=2)P(B=4) + P(A=3)P(B=3) + P(A=4)P(B=2) + P(A=5)P(B=1)

= (1/8)*(1/6) + (1/8)*(2/6) + (1/8)*(1/6) + (1/8)*(2/6)

= 1/8 = 0.125 [ANSWER]