In Lotto 649, you must select 6 numbers from 1-49. The expected number of matching numbers is? using hypergeometric distribution
The hypergeometric distribution is used to calculate the probability of selecting a specific number of items of interest from a population without replacement.
In this case, we are interested in the number of matching numbers we will have when we select 6 numbers from a pool of 49 numbers.
The formula for calculating the expected number of matching numbers is:
E(X) = N * K / n
Where:
- N = total number of items in the population (49 in this case)
- K = total number of items of interest in the population (6 in this case)
- n = total number of items selected (6 in this case)
Plugging in the values:
E(X) = 49 * 6 / 6
E(X) = 49
Therefore, the expected number of matching numbers when selecting 6 numbers from 1-49 in Lotto 649 is 49.