Yes, it IS 1/3. REMEMBER what I told you? The door does NOT, I repeat, had NO bearing on the possible combinations of children. IF you CHOOSE to go that route of using the door for logic, you ARE EXCLUDING possibilities.
And it's too early in the morning for me to figure out your code right now, but I'm pretty sure it's flawed too since again, you're using the door for reference and therefore probably excluding possibilities.
Grandfather Clock Question:
1 hour and a half. Five possibilities:
Either it hit a quarter of an hour (on some hour OTHER than 12 o'clock) OR it hit a quarter of an hour (15, 30, or 45 minutes) on 12 o'clock OR it hit 1 o'clock
In the first possibility, all you have to wait is 45 minutes, in which case you'll hear it chime more than once.
In the second possibility (15 minutes) you'd have to wait 1:45 for the clock to chime more than once.
In the third possibility (30 minutes) you'd have to wait 1:30 for the clock to chime more than once.
In the fourth possibility (45 minutes) you'd have to wait 1:15 for the clock to chime more than once.
In the fifth possibility (1 o'clock) you'd have to wait 1 hour for the clock to chime more than once.
As you wait, if the clock still chimes once at an HOUR AND A HALF, you've elminated all the possibilities but one (number 2) and you know for a fact that it's CURRENTLY 1:45 and when you heard the first chime, it was 12:15.
Cowboy question:
I'm going to go with a 54.78% chance that Bob (the poorest shooter) will win. I hope I'm right; good ol' notepad:
Code:
.83 ->
.66 ->
.5478 win for 1/3 guy
<- .33
.50 ->
.33 ->
.0451935 all die
<- .66
.090387 1/2 wins
<- .50
.33 ->
.0451935 win for 1/3 guy
I kind of stopped after that when I realized that the possibilites won't top the first one (in which Slim and Bob manage to shoot down John. And John shoots down Slim)