Question

2.) From a deck of 52 cards, what is probability of selecting an Ace of Spades then an Ace of Hearts without replacement ?

Answer 1

There are 52 cards in the complete deck, and only one of them is the ace of spades.

-- On the first draw, the probability of drawing the ace of spades is 1/52 .

Then there are only 51 cards left in the deck.

-- On the second draw, the probability of drawing the ace of hearts is 1/51.

-- The probability of both events is

(1/52) x (1/51) = 1/2652 = about 0.038% .