Hello coders, today we are going to solve **Day 2: Compound Event Probability HackerRank Solution** which is a Part of **10 Days of Statistics** Series.

**Objective**

In this challenge, we practice calculating the probability of a compound event.

**Task**

There are **3** urns labeled ** X**,

**, and**

*Y***.**

*Z*- Urn
contains*X***4**red balls and**3**black balls. - Urn
contains*Y***5**red balls and**4**black balls. - Urn
contains*Z***4**red balls and**4**black balls.

One ball is drawn from each of the **3** urns. What is the probability that, of the **3** balls drawn, **2** are red and **1** is black?

**Solution – Compound Event Probability Solution**

**Python**

# Set data x = {"Red":4/7, "Black":3/7} y = {"Red":5/9, "Black":4/9} z = {"Red":4/8, "Black":4/8} # Get possibilities first_possibility = x["Red"] * y["Red"] * z["Black"] second_possibility = x["Red"] * y["Black"] * z["Red"] third_possibility = x["Black"] * y["Red"] * z["Red"] # Get probability print(first_possibility + second_possibility + third_possibility)

The **Correct** answer is **17/42**.

**Disclaimer:** The above Problem **(Compound Event Probability) **is generated by **Hacker Rank** but the Solution is Provided by **CodingBroz**. This tutorial is only for **Educational** and **Learning** Purpose.