Rolling a die what is the probability of rolling two 4s in a row

Probability =

   (number of ways to succeed) / (total possible outcomes) .

There are 6 total possible outcomes of rolling one honest die.
Only one of them is a ' 4 '.

-- So the probability of rolling a '4' on the first roll is  1/6 .

-- The probability of rolling a '4' on the second roll is  1/6 .

-- The probability of BOTH events is

             (1/6) x (1/6)  =  1/36  =  (2 and 7/9) percent .