You have two jugs. One holds exactly 3 gallons and the other 5 gallons of water. You have unlimited supply of water. How do you fill 4 gallons of water into the five-gallon jug?

Riddle Answer# Famous Riddles

## Bus Direction

## Going to St. Ives

As I was going to St. Ives, I met a man with seven wives. Each wife had seven sacks. Each sack had seven cats. Each cat had seven kits. How many were going to St. Ives?

Riddle Answer## 2 Child Probability

Mr. Jones has two children. The older child is a girl. What is the probability that both children are girls?

Riddle Answer## The Three Gods

Three Gods A, B, and C are called, in no particular order, True, False, and Random. True always speaks truly, False always speaks falsely, but whether Random speaks truly or falsely is a completely random matter.

Your task is to determine the identities of A, B, and C by asking three yes-no questions; each question must be put to exactly one God. The Gods understand English, but will answer all questions in their own language, in which the words for yes and no are “da” and “ja”, in some order. You do not know which word means which.

- It could be that some God gets asked more than one question (and hence that some God is not asked any question at all).
- What the second question is, and to which God it is put, may depend on the answer to the first question. (And of course similarly for the third question.)
- Whether Random speaks truly or not should be thought of as depending on the flip of a coin hidden in his brain: if the coin comes down heads, he speaks truly; if tails, falsely.
- Random will answer “da” or “ja” when asked any yes-no question.

What would your three questions be?

Riddle Answer