MathDB

A standard deck of

52

cards is shuffled and randomly arranged in a queue, with each card having a suit

(\diamondsuit,\clubsuit,\heartsuit,\spadesuit)

and a rank

(\text{Ace},2,3,4,5,6,7,8,9,10,\text{Jack},\text{Queen},\text{ King})

. For example, a card with the

\diamondsuit

suit and the

7

rank would be denoted as

\diamondsuit7

, and a card with the

\spadesuit

and the

\text{Ace}

rank would be denoted as

\spadesuit\text{Ace}

. In the queue, there exists a card with a rank of

\text{Ace}

that appears for the first time in the queue. Let the card immediately following the above card be denoted as card

C

. Is the probability that

C

is a

\spadesuit\text{A}

higher than, equal to, or lower than the probability that

C

is a

\clubsuit2

Problem Statement