There are 26 red cards in a playing deck and 26 black cards.The probability of randomly selecting a red card or a black card is 26/52 = 0.50.Suppose you randomly select a card from the deck five times,each time replacing the card and reshuffling before the next pick.Each of the five selections has resulted in a red card.On the sixth turn,the probability of getting a black card
A)has got to be low because you've gotten so many red cards on the previous turns.
B)has got to be high because you've gotten so many red cards on the previous turns.
C)is the same as it has always been if the deck is a fair deck.
D)needs to be recomputed because you are sampling with replacement.

Question

Quizplus · Accepted Answer

The probability of getting a black card on the sixth turn is the same as it has always been if the deck is a fair deck. Each draw is independent of the previous draws, and the fact that five red cards have been drawn in a row does not affect the probability of drawing a black card on the sixth turn. Since the cards are replaced and reshuffled each time, the probability of drawing a black card remains 26/52 or 0.50 on every turn.

There Are 26 Red Cards in a Playing Deck and 26