Final answer:
The probability of winning the jackpot in this lottery is obtained by multiplying the probabilities of selecting four correct numbers from 1-38 and one correct number from 1-15, resulting in a very small chance of 1/1,002,030.
Step-by-step explanation:
To find the probability of winning the jackpot in a particular lottery, you need to calculate the probability of successfully selecting each set of numbers and then multiply those probabilities together.
First, you select 4 correct numbers from 1 to 38. Since the numbers are distinct and presumably drawn without replacement, the probability of getting the first number right is 1/38, the second 1/37, the third 1/36, and the fourth 1/35, because with each number drawn, one less number remains.
For the separate drawing, the chance of picking the correct single number between 1 and 15 is 1/15.
Thus, the combined probability of winning the jackpot is the product of these probabilities:
(1/38) * (1/37) * (1/36) * (1/35) * (1/15).
Performing the calculation gives us the probability:
1/1,002,030 (rounded to six significant figures).
Therefore, the probability is exceedingly small, as expected for such a large jackpot.