Subject: Mathematics
Book: Maths Mastery
Dependent events affect each other’s outcomes. The probability of both occurring is P(A) × P(B given A). For example, if you draw one card from a deck and do not replace it, drawing a second card changes the total card count, making the events dependent. If you want the probability of drawing two aces consecutively: P(first ace) = 4/52, then P(second ace given the first was ace) = 3/51, so the combined probability is (4/52) × (3/51). This concept applies in quality control, forecasting chain-of-event scenarios, and more. Understanding dependent probabilities clarifies how sequential conditions shape real-world outcomes.
If x:y = 2:3 and z:y = 4:3, what is x:z?
View QuestionWhat is the cube of 4?
View QuestionA man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?
View QuestionWhat is the greatest common divisor (GCD) of 36 and 48?
View QuestionIf sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?
View QuestionA number is increased by 20% and then decreased by 10%. What is the net change?
View QuestionWhat is the cube root of 729?
View QuestionIf the probability of an event is 1/4, what is the probability of its complement?
View QuestionIf sin(θ) = 0.6 and θ is acute, what is cos(θ)?
View QuestionWhat is the probability of drawing a king from a standard deck of 52 playing cards?
View Question