Prof. Templeton

Well done both of you, I had thought the indifference part might throw some people.

Kudos to you for solving so quickly.

A Classic... You and your partner committed a crime and are both arrested and interrogated separately. You are offered a chance to confess, in which you agree to testify against you partner, in exchange for all charges being dropped against you, unless he testifies against you also. Your lawyer, whom you trust, says that the evidence against both of you, if neither confesses, is scant and you could expect to take a plea and each serve 3 years. If one implicates the other, the other can expect to serve 20 years. If both implicate each other you could each expect to serve 10 years. You assume the probability of your partner confessing is p. Your highest priority is to keep yourself out of the pokey, and your secondary motive is to keep you partner out. Specifically you are indifferent to you serving x years and your partner serving 2x years. At what value of p are you indifferent to confessing and not confessing?

They are included

Choose any integer, X, between 10 and 1000. Remove its last digit to get another integer, Y. (For example, if X is 356, Y is 35.) What is the probability that X is evenly divisible by Y?

Just brainstorming.

Well No. 4 is missing a vowel so that three letter word could be a four letter word. I'm almost done with level x as well. Oh, It's already been done. Rats.

Which one is that from? Not in the first one. The word that helped me

I used HH's clue to get the one word that started with it.

I had meant to say if they were headed in the same direction only, then B would have traveled no further then A. They are both at the same spot. B could have traveled 1000 miles and gone no further than A was right now. But the OP doesn't say they are at the same station, so it's just a math problem.

If both trains left from the same place, then they would be headed in the same direction. So train B travels no further (on up the tracks) then train A. They are both at the same station and have yet to go any further.

A bit of a stretch, but here goes...

Nice. I see it now