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.
What is the value of x if log(x) + log(4) = log(32)?
View QuestionA man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?
View QuestionIf x + 1/x = 5, what is the value of x^2 + 1/x^2?
View QuestionIf the sum of three consecutive integers is 96, what are the integers?
View QuestionIf a:b = 7:9 and b:c = 5:6, what is a:c?
View QuestionA cone has a base radius of 7 cm and height of 24 cm. What is its volume?
View QuestionIf the radius of a circle is doubled, what happens to its area?
View QuestionThe base of a triangle is 10 cm and its height is 6 cm. What is its area?
View QuestionIf sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?
View QuestionIf x = 3 and y = 4, what is the value of x^2 + y^2?
View Question