I'm having a lot of trouble with the following problem. I'm not even sure where to start. My teacher said it should use the multiplication rule P(A and B) = P(A) * P(A|B)
I have ten cards: a golden card and nine regular cards. I want to place them in a stack and have ten players draw from the stack. The one that draws the golden card wins. I want to rig the game so there is no longer a 10% chance each person wins. In other words, manipulate the shuffle in a way such that at least one card has a better/worse odds of being selected (no zero probabilities & the card’s position must be unknown to you).
–Find a method of ordering the cards that has at least two different odds (up to ten different odds) dependent on my position, and explain your method and calculate probability for each spot drawn.
He also mentioned that this would probably be a two step process. I'm very confused and just don't know where to go with this. Any help would be awesome.
I have ten cards: a golden card and nine regular cards. I want to place them in a stack and have ten players draw from the stack. The one that draws the golden card wins. I want to rig the game so there is no longer a 10% chance each person wins. In other words, manipulate the shuffle in a way such that at least one card has a better/worse odds of being selected (no zero probabilities & the card’s position must be unknown to you).
–Find a method of ordering the cards that has at least two different odds (up to ten different odds) dependent on my position, and explain your method and calculate probability for each spot drawn.
He also mentioned that this would probably be a two step process. I'm very confused and just don't know where to go with this. Any help would be awesome.