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.
A number is increased by 20% and then decreased by 10%. What is the net change?
View QuestionA square is inscribed in a circle with a radius of 5 cm. What is the area of the square?
View QuestionIf two complementary angles differ by 30°, what are the angles?
View QuestionA train 150 m long passes a pole in 15 seconds. What is its speed?
View QuestionIf x + y = 10 and xy = 21, what is the value of x³ + y³?
View QuestionWhat is the area of a circle with a diameter of 14 cm?
View QuestionIf the sum of the squares of two consecutive positive integers is 365, what are the integers?
View QuestionIf the average of five consecutive odd numbers is 25, what is the largest number?
View QuestionIf the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?
View QuestionIf x:y = 4:5 and y:z = 2:3, what is x:z?
View Question