If you are dealt a 5-card hand (this implies without replacement) from a standard 52-card deck, find the probability of getting a straight or a straight flush or a flush.
Event E
Royal flush
Straight flush
Four of a kind
Full house
Flush
Straight
Three of a kind
Two pairs
One pair
No pair
Total
Number of Outcomes
Favorable Only to Event E
4
36
624
3744
5108
10,200
54,912
123,552
1,098,240
1,302,540
2,598,960
The probability of getting a straight or a straight flush or a flush is approximately $\boxed{}$
(Round to six decimal places as needed.)