Final answer:
The probability of getting exactly one diamond when drawing six cards from a standard deck of 52 cards can be calculated using combination formulas.
Step-by-step explanation:
To find the probability of getting exactly one diamond when drawing six cards from a standard deck of 52 cards, we need to calculate the number of favorable outcomes and the total number of possible outcomes.
There are 13 diamonds in a standard deck. The number of ways to choose 1 diamond from 13 is 13C1.
There are 39 non-diamond cards in a deck. The number of ways to choose 5 non-diamond cards from 39 is 39C5.
The total number of ways to choose 6 cards from 52 is 52C6.
Therefore, the probability of getting exactly one diamond is (13C1 * 39C5) / 52C6.