It is given that there is deck of cards
There are 52 cards.
Among them there are 4 cards which are numbered 5.
Hence in first draw, the number posibilities is 4.
Hence the probability is
[tex]\frac{4}{52}[/tex]Similarly in the second draw the number of possibilites is 4 since the card is replaced.
Hence the probability is
[tex]\frac{4}{52}[/tex]Hence for five draws, the probability is
[tex]\frac{20}{52}=\frac{5}{13}[/tex]