I have a pack of cards and use the following method to shuffle them
- Pick a random card from the deck and replace the first card with it
- Put the first card back in the deck
- Move to the second card and repeat the process till the final card
So I select any one of 51 cards to replace the first card, 50 for the second, 49 for the third and so on till the 51st card. Cards once selected and replaced aren't to be put back in the deck
Given the above method
- Does all cards have equal probability of ending up in any position?
- If the answer is yes or no, how to calculate and prove it?