Winning the jackpot in a particular lottery requires that you select the correct three numbers between 1 and 53 and, in a separate drawing, you must also select the correct single number between 1 and 42 . Find the probability of winning the jackpot.
The probability of winning the jackpot is
(Type an integer or simplified fraction.)

Step 1 ：The probability of winning the jackpot is the product of the probability of selecting the correct three numbers between 1 and 53 and the probability of selecting the correct single number between 1 and 42.

Step 2 ：The probability of selecting the correct three numbers between 1 and 53 is the number of ways to select 3 numbers out of 53 divided by the total number of possible combinations of 3 numbers, which is 53 choose 3. The number of combinations of 3 numbers out of 53 is 23426, so the probability is \(4.268761205498164 \times 10^{-5}\).

Step 3 ：The probability of selecting the correct single number between 1 and 42 is 1/42, because there is only one correct number and 42 possible numbers. So the probability is \(0.023809523809523808\).

Step 4 ：The total probability of winning the jackpot is the product of the two probabilities calculated above, which is \(1.0163717155948008 \times 10^{-6}\).

Step 5 ：Final Answer: The probability of winning the jackpot is \(\boxed{1.0163717155948008 \times 10^{-6}}\).