Good Riddles

Question: There are 100 passengers boarding a 100 passenger airplane. When passenger 1 gets onto the plane, he is dissoriented, so he randomly picks a seat. Each of the remaining passengers (2, 3, 4, etc.) get onto the plane and take their seat if it is available or picks one of the remaining seats at random if it is not.

What is the chance that the last passenger (passenger 100) will get his seat?

Question: A king is on a cross-sea voyage and as soon as they get off of their boats he spots the most beautiful elephant he has ever seen. He decides to take it home, but first, he wants to know its weight.

The largest scale they brought only goes up to 50 pounds. The king demands that his smartest scholar must come up with a solution or pay the consequences. After several days he finally comes up with an answer.

Question: It dances and skips,
it's read in the eyes but it cheats with the hips,
If it meets its match it's easily caught,
but it's worth nothing if it is bought.
What is it?

Question: what brings you down but never up

Question: Only one color, but not one size, Stuck at the bottom, yet easily flies, Present in sun, but not in rain, Doing no harm, and feeling no pain. What am I?