A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and 4 suits (, , , and ), such that there is exactly one card for any given rank and suit. Two of the suits ( and ) are black and the other two suits ( and ) are red. The deck is randomly arranged. What is the probability that the top card is a 3 and the second card is an eight?
The probability that the top card is a 3 is 4/52 (because there are 4 threes and 52 cards).
The probability that the second card is an 8 is 4/51 (because there are 4 eights and 51 remaining cards).
To find the probability that both occur, multiply these numbers together: (4/52) x (4/51) = ....