Answer
$\frac{1,317,888}{2,598,960}$ $\approx$ 0.51
Work Step by Step
Ways to select 5 cards from a deck of 52 cards = $C$(52,5) = 2598960
Ways in which we can 5 different cards from deck i.e. 5 different denomination out of 13 and each card can have any of the 4 suit is given by
$C$(13,5)$\times$$4^{5}$ = 1287$\times$1024 = 1317888
Probability is given by $\frac{1,317,888}{2,598,960}$ $\approx$ 0.51
