Answer:
To calculate the probability of winning the jackpot in this particular lottery, we need to determine the probability of selecting the correct five numbers between 1 and 37 and the correct single number between 1 and 47.
The probability of selecting the correct five numbers between 1 and 37 can be calculated as follows:
P(correct five numbers) = 1 / (total possible combinations of five numbers)
In this case, there are C(37, 5) possible combinations of five numbers, which represents the number of ways to choose five numbers out of 37. The formula for calculating combinations is given by:
C(n, k) = n! / (k! * (n - k)!)
Plugging in the values:
C(37, 5) = 37! / (5! * (37 - 5)!)
The probability of selecting the correct single number between 1 and 47 is:
P(correct single number) = 1 / (total possible numbers between 1 and 47)
Since there are 47 possible numbers to choose from, the probability is:
P(correct single number) = 1 / 47
To calculate the probability of winning the jackpot, we multiply the probability of selecting the correct five numbers by the probability of selecting the correct single number:
P(jackpot) = P(correct five numbers) * P(correct single number)
P(jackpot) = (1 / C(37, 5)) * (1 / 47)
Calculating this expression will give you the probability of winning the jackpot in this particular lottery.