Topic Details (Notes format)

How to Calculate Probability of Independent Events

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.

Practice Questions

What is the value of log₃(27)?

View Question

If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

View Question

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

View Question

If the sum of three consecutive integers is 72, what are the integers?

View Question

The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

View Question

If 2a + b = 10 and a - b = 4, what is the value of a?

View Question

A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

View Question

If a = 4 and b = 5, what is the value of (a+b)^2?

View Question

A sphere has a radius of 7 cm. What is its volume?

View Question

The simple interest on Rs. 4000 at 5% per annum for 2 years is:

View Question