Subject: Mathematics
Book: Maths Mastery
Independent events do not influence each other’s outcomes—like flipping a coin and rolling a die simultaneously. For two independent events A and B, the probability that both occur is P(A) × P(B). If P(A) = 1/2 (coin landing heads) and P(B) = 1/6 (die showing 3), then the combined probability is (1/2) × (1/6) = 1/12. Mastering independent event calculations is essential for interpreting multi-step experiments, analyzing random processes, or modeling real-world phenomena where outcomes remain unaffected by previous events.
If x + y = 10 and xy = 21, what is the value of x³ + y³?
View QuestionThe probability of getting an even number when rolling a die is:
View QuestionIf x^2 + 4x + 4 = 0, what is the value of x?
View QuestionWhat is the area of an equilateral triangle with side length 10 cm?
View QuestionThe probability of rolling a sum of 7 with two dice is:
View QuestionIf x^3 - 3x^2 + 4 = 0, what is one root of the equation?
View QuestionWhat is the sum of the first 50 positive integers?
View QuestionIf x^2 - 5x + 6 = 0, what are the roots?
View QuestionIf sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?
View QuestionWhat is the sum of the first 20 odd numbers?
View Question