Draws with replacement until every suit appears

Cards are drawn one at a time from a standard 52-card deck, with each card put back (and the deck reshuffled) before the next draw. What is the expected number of draws until all four suits have been seen?

$\tfrac{25}{3}$. Coupon collector with four equally likely suits: after $j$ suits have appeared, a new suit turns up with probability $\tfrac{4-j}{4}$. Adding the geometric waiting times gives $1+\tfrac43+2+4=\tfrac{25}{3}$.