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

A car travels 240 km in 4 hours. What is its average speed?

View Question

If a = 2 and b = 3, what is the value of (a^2 + b^2)?

View Question

What is the area of a circle with a diameter of 14 cm?

View Question

What is the slope of a line passing through the points (2, 3) and (4, 7)?

View Question

What is the probability of drawing a king from a standard deck of 52 playing cards?

View Question

A cube has a side length of 4 cm. What is its volume?

View Question

If a:b = 2:3 and b:c = 4:5, what is a:c?

View Question

How many diagonals does a pentagon have?

View Question

The base of a triangle is 10 cm and its height is 6 cm. What is its area?

View Question

If x - y = 5 and x + y = 15, what is the value of x?

View Question