Marco draws a card and replaces it 10 times from a standard deck of 52 cards. He draws 8 red cards and 2 black cards. What is the theoretical probability that he will draw a red card on his 11th draw?
A)1/4
B)1/2
C)2/3
D)4/5

Question

Marco draws a card and replaces it 10 times from a standard deck of 52 cards. He draws 8 red cards and 2 black cards. What is the theoretical probability that he will draw a red card on his 11th draw?
A)1/4
B)1/2
C)2/3
D)4/5

mathmale · Answer

Let's agree on a couple of assumptions first:  Each time Marco draws a single card from the standard deck of 52 cards, he replaces it and then shuffles the deck before drawing another single card from it.  Think:  how many of the 52 cards are red?  how many are black?  If, one card is drawn, what is the probability that it will be a red card?  I believe the other info given is extraneous (in other words, it's more info than is necessary to solve the problem.  Remember that each draw of one card is theoretically totally independent of any other draw of one card.

anonymous · Answer

so it is a 50 50 shot that it will be a red or black card...then the answer would be C? because he has drawn 8/10 cards that are red?

anonymous · Answer

no 1/2 because it it THEORETICAL and you have a 50 50 shot everytime(:

hero · Answer

Great job @lindseycoleman13