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Advanced Problems Quizzes, Questions & Answers

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Inclusion–Exclusion
Inclusion–exclusion

Overlapping sets often confuse probability and counting problems. The inclusion–exclusion principle clears up the confusion! In this quiz, you’ll practice applying the principle to handle multiple intersections. Try...

Questions: 10  |  Attempts: 10   |  Last updated: Dec 10, 2025
  • Sample Question 1
    Given P(A)=0.58, P(B)=0.46, P(A∩B)=0.31, find P(A∪B).
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  • Sample Question 2
    |A|=240, |B|=180, |A∩B|=95, total n=500. Find P(A∪B).
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Advanced Addition Rule — 2 and 3 Events
Advanced Addition Rule — 2 And 3 Events

Probability gets trickier with multiple events. In this quiz, you’ll apply the addition rule for two and three events, making sure to account for overlaps correctly. Take this quiz to master advanced scenarios in...

Questions: 10  |  Attempts: 10   |  Last updated: Dec 10, 2025
  • Sample Question 1
    Given P(A)=0.6, P(B)=0.5, and P(A∩B)=0.4, find P(A∪B).
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  • Sample Question 2
    P(A)=0.45, P(B)=0.4, and P(A∩B)=0.25. Find P(A∪B).
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