Step 1 :The problem is asking for the probability of being dealt four of a kind or a straight in a 5-card poker game.
Step 2 :To find this, we need to add the number of outcomes favorable to four of a kind and a straight, and then divide by the total number of outcomes.
Step 3 :The total number of outcomes is given as 2,598,960.
Step 4 :The number of outcomes favorable to four of a kind is given as 624 and the number of outcomes favorable to a straight is given as 10,200.
Step 5 :So, the probability is calculated as follows: \( \frac{{624 + 10,200}}{{2,598,960}} \).
Step 6 :Performing the calculation gives a probability of approximately 0.004165.
Step 7 :Final Answer: The probability of being dealt four of a kind or a straight in a 5-card poker game is approximately \(\boxed{0.004165}\).