poker hands percentages

What are the chances, of recieving a hand of poker and all five cards are the same suit?

I saw the question on TV today and the answer was 25% but I believe its less as the first card drawn would be a twenty five then you have four more draws after so the percentage would diminish. Someone put it right for me. as I cant sleep.?

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For the first card your odds are 13/52
For the second card your odds are 12/51
For the third card your odds are 11/50
For the fourth card your odds are 10/49
For the fifth card your odds are 9/48

Multiply this all out and you get roughly 1 in 2000 chances of getting a flush by drawing five cards.