Subject: Mathematics
Book: Maths Mastery
Venn diagrams visually represent sets and their overlaps, making them invaluable for probability calculations. Each set is a circle; overlaps indicate shared elements. For two sets A and B, P(A ∪ B) = P(A) + P(B) – P(A ∩ B). If A and B are disjoint, the overlap is zero. Complex three-set diagrams enable step-by-step logic (like subtracting double counts, adding triple overlaps). Venn-based thinking clarifies relationships among events (e.g., students taking different classes). Proficiency in reading or constructing Venn diagrams streamlines probability, set operations, and multi-category data analysis.
What is the probability of drawing an ace from a standard deck of 52 cards?
View QuestionIf x^2 - 5x + 6 = 0, what are the roots?
View QuestionIf a square has a perimeter of 64 cm, what is its area?
View QuestionIf x + 1/x = 5, what is the value of x^2 + 1/x^2?
View QuestionIf log(100) = 2 and log(10) = 1, what is log(1000)?
View QuestionIf a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?
View QuestionIf x^3 - 3x^2 + 4 = 0, what is one root of the equation?
View QuestionA number is increased by 20% and then decreased by 20%. What is the net change?
View QuestionIf sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?
View QuestionIf 2x = 16, what is the value of x?
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