Statistical Significance question?

My brother and I decided to test our mental connections and had some surprising results. I took a deck of cards and selected one randomly and then stared at him focusing on the number. I told him to guess it and he did. He then took the deck and randomly selected a card and asked for me to guess it. I also guessed it correctly. I then took the deck back and repeated the process a third time and he correctly guessed the card I had selected. On the fourth repetition I did not correctly guess the card. The chances of correctly guessing a card are 1/52. 1/52 to the third (i.e. the chance of randomly picking three cards) is .000007%. My question, is how can you test this for statistical significance and find out what the chance is of this result being due to chance or statistical flukes. I'm asking for a test in statistical significance as I am not a statistician and do not know how. Thank you.