that the expected number of aces in your right hand is 2. Please begin

by describing the probability space./nThis problem will refer to a standard deck of cards. Each card in such a

deck has a rank and a suit. The 13 ranks, ordered from lowest to highest,

are 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. The 4 suits are

clubs diamonds (), hearts (♡), and spades Cards with clubs

or spades are black, while cards with diamonds or hearts are red. The

deck has exactly one card for each rank-suit pair: 4 of diamonds, queen

of spades, etc., for a total of 13.4 = 52 cards.

After binge watching her TV show, Sara still had some time to kill, so

she pulled out a deck of cards and came up with a fun problem. Consider

Sara's standard deck of cards. You divide this deck in half by selecting

uniformly at random 26 of the deck's 52 cards and placing them in your

left hand. You hold the remaining 26 cards in your right hand. Prove