Answer
$P(E)=0.0020$
Work Step by Step
Sample space: all possible combinations of 5 cards from a deck with 52 cards:
$n(S)=C(52,5)=\frac{52!}{(52-5)!\times5!}=\frac{52\times51\times50\times49\times48}{5\times4\times3\times2\times1}=2,598,960$
Choose any suit: $C(4,1)=4$
From this suit, choose any five cards:
$C(13,5)=\frac{13!}{(13-5)!\times5!}=\frac{13\times12\times11\times10\times9}{5\times4\times3\times2\times1}=1287$
$n(E)=4\times1,287=5,148$
$P(E)=\frac{n(E)}{n(S)}=\frac{5,148}{2,598,960}=0.0020$