Conditional Probability · Independent Events

Lesson 4

Nikolai Chukhin · Alexander S. Kulikov

Problem. We flip three coins and consider the events \(A_{12}\), \(A_{23}\), and \(A_{13}\), where \[A_{ij}=\text{“the coins \(i\) and \(j\) show the same result”}.\]

5 points

  1. Events \(A_{12}\) and \(A_{23}\) are independent

  2. Events \(\{A_{12}, A_{23}, A_{13}\}\) are mutually independent

  3. Events \(\{A_{12}, A_{23}, A_{13}\}\) are pairwise independent