The number of total possible different outcomes is the product of the possible otucomes of the die times the number of possible outocomes of the cardas: 6 * 10 = 60.
They are (1,1), (1,2), (1,3), ..., (1,10), (2,1), (2,2), .., (2,10), ....(6,10).
So the probability of exactly one outcome is 1 / 60.
Answer: 1/60