When experimenting with probability in the game Tenzi, we found that it took on average about 14.6 turns to get 10 of the same number. A few of the turns were closer to 10, but a couple of turns that were much higher raised the average up to that number. The lowest number of turns that we were able to get 10 of the same number in was 6 turns, while the highest was 26. I believe this number is pretty accurate because we made sure to test it multiple times to get a solid average. Due to the fact that luck plays a major role in this game, the amount of turns it takes can vary, but this is the average that we found.
We found that the probability of getting 10 of the same number on the very first turn is ⅙ to the tenth power. This is true because there are 6 numbers on each dice, giving you a ⅙ chance of getting a particular number. Since there are ten dice, it is ⅙ for each dice, therefore to the tenth power. Looking at the amount of time that it takes to get 10 of the same number, we found that it took about 45 seconds on average. The speed in which one rolls the dice plays a role in the amount of time it takes to get 10 of the same number, so we tested it by rolling the dice rather fast to get to that number.
We found that the probability of getting 10 of the same number on the very first turn is ⅙ to the tenth power. This is true because there are 6 numbers on each dice, giving you a ⅙ chance of getting a particular number. Since there are ten dice, it is ⅙ for each dice, therefore to the tenth power. Looking at the amount of time that it takes to get 10 of the same number, we found that it took about 45 seconds on average. The speed in which one rolls the dice plays a role in the amount of time it takes to get 10 of the same number, so we tested it by rolling the dice rather fast to get to that number.