self Maths Puzzle

Let's say we have an infinitely large floor that has horizontal lines that are perfectly parallel and exactly 1 inch apart. If a needle of length 1 is thrown at random on the floor, what is the probability it will intersect a line?
Hint: This question requires calculus. If you don't know calculus, you probably shouldn't waste your time on this.

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self Other Question

A census worker asked a mother for the ages (years, not months) of her three children. The mother replied that the product of their ages is 36, and the sum of their ages is the same as the address (house number) to the north. After looking at that adress, the census worker returned and said to the moter:"I need more information." The mother said: " The oldest is sleeping upstairs." What are the agaes of the three children? What is the address (house number) next door to the north? what number should replace the question mark below? explain your answer.
03.7.5.5.4.7.6.6.7.?