A poker player holds a flush when all five cards in the hand

belong to the same suit $($clubs$,$ diamonds, hearts, or spades$).$ We

will find the probability of a flush when five cards are drawn in

succession from the top of the deck. Remember that a deck contains

$52$ cards, $13$ of each suit, and that when the deck is well shuffled,

each card drawn is equally likely to be any of those that remain in

the deck. Concentrate on spades. What is the probability that the

first card drawn is a spade? Give your answer to two decimal

places. probability: What is the conditional probability that the

second card drawn is a spade, given that the first is a spade?

$($Hint: How many cards remain? How many of these are spades?$)1251$

$125213521251141351$