Worked Example

Example 2: Two Marbles

Without Replacement

Two marbles are drawn in succession without replacement from an urn containing 3 red and 2 blue marbles. Let X = number of red marbles. Find the probability distribution.

Solution

Step 1 of 3

Step 1

What is the first step to find the probability distribution?

info

Correct! For sampling without replacement, we use the hypergeometric distribution formula: ways to choose x red marbles AND (2-x) blue marbles, divided by total ways to choose 2 marbles.