Problem
The Problem
An urn contains 5 red, 3 green, and 2 blue balls. You draw balls one at a time without replacement until the urn is empty.
- What is the probability that all 5 red balls come out consecutively (as a single block of 5 reds in a row)?
- What is the probability that no two adjacent balls in the draw sequence have the same color?
- What is the expected number of color changes (adjacent pairs with different colors) in the sequence?