Is it better to play $\$1$ on $10$ lottery draws or $\$10$ on one lottery draw? If I had 10 dollars to spend on a 1 dollar lottery draw, would I have more chance of winning if I spent all 10 dollars in one draw or bought 1 dollar tickets for 10 separate draws?
Edit:
in terms of lottery definition, you pick 6 numbers from a pool of 49 numbers (1-49), that is classed as one lottery ticket. So each 1 dollar represents a selection of 6 numbers. Across multiple tickets you can pick the same numbers as appear on your previous tickets. If you are familiar with EuroMillions or UK Lotto, it's that kind of lottery.
http://www.national-lottery.co.uk/player/p/lotterydrawgames/lotto.ftl
Edit 2:
Let me re-phrase the question. The probability of winning the jackpot in the lottery is 1 in 13,983,816.
Would buying 10 tickets for one draw change those odds to 10 in 13,983,816 ? and if so is that better than playing in 10 different draws at 1 in 13,983,816 odds each?

This is a simple binomial problem. 
Use the formula:
$$
 \Bbb P(X=k) ={n \choose {k}}\cdot p^k\cdot (1-p)^{n-k},
$$
where $p$ is the probability  of success.
For all ten dollars in $1$ draw, $n=1, k=1$.
For ten different draws and exactly $1$ success, $n=10, k=1$.
For ten different draws, and at least $1$ success, use $1-\Bbb(X=0)$ where $n=10$. 
You will find it is better to put all $10$ dollars in $1$ lottery draw. 
