You deal 5 cards from a well-shuffled deck of playing cards. What is the probability that the 5th card is the queen of spades?
Just from analysis, P(5th queen spade) = (51*50*49*48*1)/(52*51*50*49*48) = 1/52
However why wont this method of logic thinking incorrect?
P(5th queen spade) = (51Cr4) / (52Cr5) = 5/52. Reasoning: choose any first 4 cards and last card is queen spade, divide by all possible choice