what is the chance of getting the same number twice in a row, if there are 1000 numbers to draw from. what is the formula for this?
It doesn't matter what the first number is, it is the second number that we care about.
The prob that the second is the same as the first is 1/1000
To calculate the chance of getting the same number twice in a row from a set of numbers, we need to consider the total number of possible outcomes and the number of favorable outcomes.
The formula to calculate the probability of an event occurring is:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
In this case, the total number of possible outcomes is the number of numbers to draw from, which is 1000.
For the number to be the same twice in a row, there is only one favorable outcome, which is getting the same number both times.
Therefore, the probability of getting the same number twice in a row is:
Probability = 1 / 1000
So, the chance of getting the same number twice in a row, if there are 1000 numbers to draw from, is 1 in 1000, or 0.001 (0.1%).
To calculate the chance of getting the same number twice in a row from a pool of 1000 numbers, we need to consider the total number of possible outcomes and the number of successful outcomes.
The formula to calculate the probability of an event is:
Probability = Number of successful outcomes / Total number of possible outcomes
In this case, the total number of possible outcomes is the total number of numbers to draw from, which is 1000.
Now, let's consider the number of successful outcomes, which is the number of ways we can choose the same number twice in a row. Since we are drawing from a pool of 1000 numbers, there is only one specific number that can be chosen first. Once the first number is chosen, there is only one possibility again to choose the same number, which is itself. Hence, the number of successful outcomes is 1.
Substituting the values into the formula:
Probability = 1 / 1000
Therefore, the probability of getting the same number twice in a row from a pool of 1000 numbers is 1 in 1000.