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In this lesson, we will learn how to use unions, intersections, and complements of events in probability calculations.
Q1:
Suppose and are events. Given that , , , and , find the value of .
Q2:
Suppose π΄ and π΅ are two events with probabilities π ( π΄ ) = 5 7 and π ( π΅ ) = 4 7 . Given that π ( π΄ βͺ π΅ ) = 6 7 , determine π ( π΄ β π΅ ) .
Q3:
Suppose π΄ and π΅ are events. Given that π ( π΄ ) = 4 π₯ , π οΊ π΅ ο = π₯ , π ( π΄ βͺ π΅ ) = 3 π₯ + 0 . 9 , and π ( π΄ β© π΅ ) = 1 2 π₯ , find the value of π₯ .
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