Statistics I20795 marksNumerical: conditional probability calculationConcepts of probability
Define conditional probability. A problem of statistics is given to three students, A, B, and C whose chances of solving the problem are in a ratio of 2:3:5. Find the probability that (i) none of them solve the problem (ii) the problem will be solved.
Define conditional probability. A problem of statistics is given to three students, A, B, and C whose chances of solving the problem are in a ratio of 2:3:5. Find the probability that (i) none of them solve the problem (ii) the problem will be solved. [5]
Conditional probability is the probability of an event $A$ occurring given that another event $B$ has already occurred. It is defined as: $$P(AB) = \frac{P(A \cap B)}{P(B)}, \quad P(B) 0$$ --- - Ratio of chances of solving: $A : B : C = 2 : 3 : 5$ - Sum of ratio parts: $2 + 3 + 5 = 10$ Interpreti...