Introduction to Probability · Problem 2.2.7

Combinatorics — Grinstead & Snell

Mathematics — Probability · continuous-density-functions

Problem

Choose a number

B

at random from the interval

[0, 1]

with uniform density. Find the probability that (a)

1/3 < B < 2/3

. (b)

|B - 1/2| \leq 1/4

. (c)

B < 1/4

1 - B < 1/4

. (d)

3B^2 < B