self Maths Puzzle

what number should replace the question mark below? explain your answer.
03.7.5.5.4.7.6.6.7.?

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self Other Question

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. Smitha had a number of cookies. After eating one, she gave half the remainder to her sister. After eating another cookie, she gave half of what was left to her brother. Smitha now had only five cookies left. How many cookies did she start with?