From a set of 52 different cards, we pick 5 at random with replacement. What is the probability that among the five times we pick, we get at least twice them same card. In other words, we pick a card at random, write down the name of the card and then put it back. Then we start all over again. Repeating the process 5 times.

So, at the end we have chosen 5 times a card, and we could have picked for example twice king of hart....but we could also pick each time a different card. What is the probability that we did not pick 5 times a different card?