if only one of the 6 is correct, and you choose randomly, and the outcome of each round is independant of the other rounds, then...
...You are describing a case of the binomial distribution.
With the following:
probability of success (p) = 1/6
probability of failure (q) = 5/6
number of trials (n) = 32
the chance of getting exactly X guesses right is given by the formula
if you want to work out the chance of getting a range of values (5-10) then add up the chance of getting 5,6,7,8,9,10.
There are online tools that calculate these for you: Binomial Calculator