Topic Details (Notes format)

How to Identify Independent vs. Dependent Events

Subject: Mathematics

Book: Maths Mastery

Independent events do not affect each other’s outcome (e.g., rolling a die and flipping a coin), while dependent events do (e.g., drawing cards without replacement). Mathematically, events A and B are independent if P(A ∩ B) = P(A) × P(B). If they do not satisfy that, they are dependent. Understanding this difference is crucial in probability trees, combinatorial scenarios, or chain-of-event analyses. Correct classification ensures you multiply probabilities appropriately, whether you’re designing experiments or calculating risk in finance, health, or engineering contexts.

Practice Questions

If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

View Question

If the product of two numbers is 120 and their sum is 26, what are the numbers?

View Question

A number is increased by 20% and then decreased by 10%. What is the net change?

View Question

The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

View Question

A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

View Question

The LCM of 12 and 15 is:

View Question

What is the area of a sector of a circle with radius 14 cm and central angle 90°?

View Question

If x^2 - 6x + 9 = 0, what is the value of x?

View Question

If x^3 - 3x^2 + 4 = 0, what is one root of the equation?

View Question

What is the HCF of 72 and 120?

View Question