Question

If you are given a paper which has lines which are the length of a needle apart, and then you repeated drop that needle onto the paper, the probability that the needle with cut the line is:

Answer 1

Answer:

The correct option is;

$\frac{1}{\pi }$

Step-by-step explanation:

Here we have that

$Probability = \frac{Number \, of \, required\, outcomes}{Number \, of \, possible\ outcomes} = \frac{Dimension \, of \, the \, line}{Size \, of \, the \ needle} = \frac{l \times D}{\pi \times D \times l } = \frac{1}{\pi }$

Therefore, the probability that the needle will cut the line = 1/π.