Question

The dealer gives you 4 cards from a regular 52-card deck, without replacement. What is the probability of receiving a spade, a heart, a diamond, and then a club, in that order?

Possible Answers:
(4/13) * (4/12) * (4/11) * (4/10)
(13/52) * (13/52) * (13/52) * (13/52)
(13/52) * (13/51) * (13/50) * (13/49)
(4/13) * (4/13) * (4/13) * (4/13)
(13/52) * (12/51) * (11/50) * (10/49)

Answer 1

Below

Explanation:

There are 13 spades 13 hearts 13 diamonds and 13 clubs in the full 52 deck

1st card spade 13 / 52

now there are only 51 cards lefts 13 are hearts

second card hearts 13 / 51

now there are 50 cards left 13 are diamonds

third card diamond 13/50

similarly for the fourth card = 13 / 49

Final prob = 13/52 * 13/51 * 13/50 * 13/49