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 HCF of 48 and 180?

View Question

What is the probability of drawing an ace from a standard deck of 52 cards?

View Question

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

View Question

If x + 1/x = 5, what is the value of x^2 + 1/x^2?

View Question

What is the cube root of 729?

View Question

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

View Question

A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

View Question

The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

View Question

The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

View Question

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

View Question