Subject: Mathematics
Book: Maths Mastery
Conditional probability P(A|B) measures the likelihood of A given B has occurred, computed as P(A ∩ B) ÷ P(B). For example, if the probability of it raining and your friend carrying an umbrella is 0.30, and the probability of your friend carrying an umbrella is 0.50, then P(Rain|Umbrella) = 0.30 ÷ 0.50 = 0.60. Conditional probability arises in medical testing (positive test given the condition), machine learning (predictive models), and daily logic (likelihood of an outcome given partial info). Mastering it refines your reasoning and real-life decision-making based on evolving evidence.
If x + y = 10 and xy = 21, what is the value of x³ + y³?
View QuestionIf the radius of a circle is doubled, what happens to its area?
View QuestionWhat is the slope of a line passing through the points (2, 3) and (4, 7)?
View QuestionA sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?
View QuestionWhat is the sum of the first 20 odd numbers?
View QuestionThe area of an equilateral triangle with side length 6 cm is:
View QuestionIf x - y = 5 and x + y = 15, what is the value of x?
View QuestionThe sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?
View QuestionWhat is the LCM of 15 and 20?
View QuestionThe sides of a triangle are 7, 24, and 25. Is this a right triangle?
View Question