# Does discarding cards face down affect the distribution of the remaining cards? [closed]

You have a deck of $N$ cards, $Y$ of which are labelled "A". $N$ and $Y$ are known.

Does discarding $n$ cards face down from the top of the deck affect the probability that the next card drawn is labelled "A"?

## closed as off-topic by Zev Chonoles, Gabriel Romon, Robert Cardona, Ali Caglayan, Sujaan KunalanMar 17 '15 at 22:03

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Zev Chonoles, Gabriel Romon, Robert Cardona, Ali Caglayan, Sujaan Kunalan
If this question can be reworded to fit the rules in the help center, please edit the question.

Let's say you have $N=$3 cards, with $Y=2$ being labelled "A". You then discard $n=$2 cars. Now the last card has $67$% chance of being labelled "A", but the remaining set of 1 cards cannot contain 2 cards with "A" on it.
So the $67$% remains the same while the distribution of number of "A" cards changes.
• Out of curiosity, your answer holds true even for $N = 33$, $Y = 7$ and $n = 5$, right? – KevBelisle Mar 17 '15 at 14:56