In the Pufeng needle throwing test, the distance between parallel lines a, needle length B, try to find the relationship between the probability of intersection of needle and line and a, B, and find out under what condition the probability is 1 / PAI

In the Pufeng needle throwing test, the distance between parallel lines a, needle length B, try to find the relationship between the probability of intersection of needle and line and a, B, and find out under what condition the probability is 1 / PAI

p=2b/(πa)
a=2b => p=1/π
"In the 18th century, French mathematicians Buffon and leclere put forward the" needle throwing problem ", which was recorded in Buffon's works published in 1777:" draw a group of parallel lines with a spacing of D on the plane, and draw a length of L (L)