Welcome to the game show Dhanteras Dhamaka! This game has four doors: Door $1,$ Door $2,$ Door $3,$

and Door $4.$ Behind two of the doors are two $24$k $1$kg gold bars, and behind the remaining two are two owls.

You are asked to choose one door as your final selection. Once you make your choice, the game host, lets

call her Lakshmi, who knows the location of each gold bar and owl, decides to reveal one of the doors you

did not select. Lakshmi will never reveal a door that contains a gold bar. Now, you have a crucial decision

to make. You can stick with your original door choice or switch to other unopened doors. What would you

do in this situation? Would you stick with your initial door choice or switch to another door? And most

importantly, what is the reasoning behind your decision?