Probability and randomness are weird. No matter how many times you flip a coin, the chance of heads is always 50%. So while the base probability of 6 heads in a row is, I believe, correctly stated as 1/64, if you've had 5 heads in a row the chances of the next flip being heads is still 50% – this is not affected by the preceding results.
Interestingly, the more times you flip, the higher the chance of a longer streak of the same result. I.e., the chance of a repeating sequence changes depending on how many times you perform the action (while the chance of any individual result of a single flip remains static at 50%.) If you flip 20 times, in about 45% of cases you will get a streak of four. This is based on the number of permutations of results: 45% of permutations of 20 contain a streak of four. To get a similar chance of 7 in a row (44%) you'd need to flip 150 times. This shows that the common assumptions we might make – such as the probability of a streak continuing being affected by how long it's been running, or that the chance of a repeating sequence of a given length is static – are not necessarily accurate.
(this has nothing much to do with the game, but I think it's fascinating)
Naturally, in a world which has people in control of certain aspects, it's possible that the result was being manipulated. But it could also just happen.