Question 610840: Assume you have a deck of well shuffled cards. What is the probability of being dealt four black cards off the top? Is this scenario representative of dependent or independent events?
I feel that there is not enough information.. Please help... I am just not understanding this Answer by solver91311(16885) (Show Source):
Pretty obviously this represents dependent events. If you get dealt a red card on the first card, you have lost already, but even presuming that you are dealt a black card on the first card (probability 1/2 if you don't have a joker -- neither red nor black -- in the deck), then the probability of getting a black card on the second draw is reduced to 25/51 since one of the 26 black cards in the deck is gone, namely your first card reducing both the denominator and numerator by 1. Presuming that you got a black card on the first AND second draws, then the probability of a black card on the third draw is reduced again, this time 24/50. And so on.
The overall probability of 4 black cards is the product of the four individual probabilities.
My calculator said it, I believe it, that settles it