What is the probability that a 5-card hand drawn randomly from a standard deck of 52 cardsis a flush (that is, all cards have the same suit)? Write the exact value (a reduced fraction).

Show that the probability of drawing a club at random from a standard deck of 52 playing cards is the same as the probability of drawing the ace of hearts at random from a set of four cards consisting of the aces of hearts, diamonds, clubs, and spades.