ANSWER:
[tex]\frac{1}{8925840}[/tex]STEP-BY-STEP EXPLANATION:
To determine the probability we must calculate the following number of combinations:
Combination formula:
[tex]_nC_r=\frac{n!}{r!(n-r)!}[/tex]Number of ways of selecting 5 numbers out of 24 is C(24, 5)
[tex]_{24}C_5=\frac{24!}{5!\cdot(24-5)!}=42504[/tex]Number fo ways of selecting 4 numbers out of 10 is C(10, 4):
[tex]_{10}C_4=\frac{10!}{4!\cdot(10-4)!}=210[/tex]So number of ways of selecting five numbers is:
[tex]42504*210=8925840[/tex]Out of these possible ways, one one is for jackpot so
[tex]p(\text{jackpot)}=\frac{1}{8925840}[/tex]