Independence and Probabilities of Independent Events

Free SOA Exam P (Probability) lesson in General Probability. 27 min read, ~4,109 words.

Independence definition:, equivalently; the product and conditional tests are algebraically identical. Mutually exclusive events with positive probabilities are NEVER independent (a zero joint probability cannot equal a positive product). Complement swap: if independent, so are and (all four combinations). Mutual independence of events needs conditions; pairwise independence does NOT let...

What this lesson covers

• Content
• Example 1
• Example 2
• Example 3
• Example 4
• Example 5
• Example 6
• Common Mistakes
• Check Your Understanding
• Exam Shortcuts

Learning objectives

• 1c

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