Answer:
[tex]\frac{1}{3,492,544}[/tex]
Step-by-step explanation:
Since winning the lottery as described in the question is a series of events that need to occur in a sequence in order for it to be a winning ticket then this is a dependent event. Therefore to find the probability of actually winning we multiply the probability of getting each number which is calculated by dividing the amount of times the number appears by the total amount of numbers.
For example the first three numbers are 1 out of 44 therefore the probability of hitting just one correct number is [tex]\frac{1}{44}[/tex] ... now we multiply
[tex]\frac{1}{44} * \frac{1}{44} * \frac{1}{44} * \frac{1}{41} = \frac{1}{3,492,544}[/tex]
(Multiplying fractions is simply multiplying the numerators together and then the denominators together) Finally we see that the probability of actually winning the jackpot is [tex]\frac{1}{3,492,544}[/tex]
