medium Probability
A release-checked medium problem for training Conditional Probability, Continuous Random Variables.
Noelle is preparing a tuna fish of length $L$ in anticipation of dinner. She selects $2$ cutting points uniformly at random and independently along the length of the fish so that the cutting points are on opposite sides of the midpoint of the fish. Find the probability that the distance between the two points Noelle selects is greater than $\frac{L}{3}$.
This Probability problem is tagged Conditional Probability, Continuous Random Variables. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.
Probability · Akuna
Probability
Probability
Probability · SIG, DE Shaw
Probability · SIG, Jane Street
Probability · Jane Street