When three standard dice are tossed, the numbers A,B,C are obtained. Find the probability that .ABC =180

there are 3 rolls whose product totals 180

(5,6,6), (6,5,6), (6,6,5)

 

There are 216 possible rolls of 3 six sided dice.

 

\(P[\text{product of 3 dice = 180}] =\dfrac{3}{216}=\dfrac{1}{72}\)