This is getting a little into the deep end, but I've heard from members of the LDS church that Jesus Christ was born on this Earth as a Savior not only to those on this planet, but every single planet where God has created life. Moses 1:33-35 states
33 And worlds without number have I created; and I also created them for mine own purpose; and by the Son I created them, which is mine Only Begotten.
34 And the first man of all men have I called Adam, which is many.
35 But only an account of this earth, and the inhabitants thereof, give I unto you. For behold, there are many worlds that have passed away by the word of my power. And there are many that now stand, and innumerable are they unto man; but all things are numbered unto me, for they are mine and I know them.
Did we really luck out with getting the one and only Savior who only lived on this Earth but atones for all of God's children on other planets as well? That is not just winning a lottery, that is winning a lottery with "innumerable" odds stacked against us. I'm not sure how in depth this topic is discussed within the LDS church, but I'd appreciate any insight