Although I have taken Discrete Mathematics I am really bad with probability and would appreciate your insight in this. I had a discussion with a friend about aliens. So the question that arose is what is the probability that aliens on a different planet somewhere look similar to an animal species on earth. For example: What's the probability that there are space bears on planet X that are very similar to earth's bears? According to my friend this is similar to finding the probability that 2 people(~2 evolutions) roll the dice and both of them get the same numbers each time. In that case the question could really then be "What's the probability that if both people throw the dice 3 times, they will get the same numbers each time?". Is this approach correct?