1. Learn
    2. /
  2. Courses
    3. /
  3. HarvardX Data Science - Probability (PH125.3x)

Exercise

Exercise 3. Sampling without replacement - generalized

Instead of taking just one draw, consider taking two draws. You take the second draw without returning the first draw to the box. We call this sampling without replacement.

What is the probability that the first draw is cyan and that the second draw is not cyan?

Instructions

100 XP
  • Calculate the conditional probability p_2 of choosing a ball that is not cyan after one cyan ball has been removed from the box.
  • Calculate the joint probability of both choosing a cyan ball on the first draw and a ball that is not cyan on the second draw using p_1 and p_2.