I did the calculations a long time ago, but if i remember correctly you were better off buying an actual lottery ticket for your country's lotto system than buying a mining stick and use it as a lottery device.
With this toy, you get 10500MH that is 1 in 11,326,147,610 chance for every block, let's compare this against a relatively small lotto such as Mini Lotto Poland where the jackpot is
83k and your chances are 1 in 850,668 for 6 days a week and the ticket costs about 40 cents so we can simply ignore the initial cost, and also "pretend" that the rewards are the same 83k vs 71k
So Mining Toy, Polish Lotto
Chances per day = 1 in 78,653,803 vs 1 in 850,668 ( 1 day vs 92 days)
Duration = "infinity" vs 6 days
since you get 6 chances of 1 in 850,668 it means you need 554 days of mining with this little mining toy to cover up for the difference, in fact, a little more since you need to pay a small amount of power.
So it does look like playing the lotto is much more reasonable, however, your BEST chance in playing the lotto is to win only once, while with solo mining you could "theoretically" win many times.
With the being said, unless you are going to buy this for fun and learning, it isn't worth buying.
Can I mine on pools too or only solo?
Noway you can mine to a pool with such hashrate, you could probably mine to CKsolo but your hashrate will most likely show 0 for an extended period and you won't know if the toy is connected to the pool or not.
Long story short: Not worth it.