# Probability of a coin dropping in a box [closed]

suppose I am going to toss a coin of diameter 1 inch in a square box that has length of 2 inch .Whats the probability of the coin dropping in the box but will not touch the border?

• What have you tried? Please show your efforts at solving the problem. – Varun Vejalla Feb 23 at 16:19
• area of coin/area of box – Tekton_infernus Feb 23 at 16:21
• @Tekton_infernus : favourable area / total area – tommik Feb 23 at 16:22
• This is horribly underspecified. With what probability distribution and what sample space does the coin enter the box? A highly precise robot can with $100\%$ accuracy land the coin in the box without touching the edges every single time. A small child on the other hand might not even successfully get the coin in the box when trying... – JMoravitz Feb 23 at 16:24
• And what happens near the corners? If the centre of the coin is just inside the corner, almost 3/4 of the coin is outside the edges of the box. Does it go in or not? – Jaap Scherphuis Feb 23 at 16:27

$$\frac{1^2}{2^2}=\frac{1}{4}$$