Surprisingly I did not get any solution to this puzzle, though the access to the blog was the highest that it has ever been. Assuming that many of you tried but thought it to be too easy!
Here are the answers to the puzzle:
1. Between the six slots, the odds are equal of being in the odd numbered or the even numbered slots, and hence the chances of winning are equal no matter which one you choose.
2. You should go first, have 2/3rd chances of winning
3. You should go first, have 3/5th chances of winning.
For a detailed answer in video for children, please see the following:
Hope you enjoyed the puzzle!