Statistics I2080.15 marksNumerical: Probability of independent eventsLaws of probability
Define mutually exclusive events and independent events in probability. A problem of mathematics is given to three students, A, B and C whose chances of solving the problem are in ratio 2 : 3 : 5. Find the probability that (i) all of them solve the problem (ii) none of them solve the problem (iii) t
Define mutually exclusive events and independent events in probability. A problem of mathematics is given to three students, A, B and C whose chances of solving the problem are in ratio 2 : 3 : 5. Find the probability that (i) all of them solve the problem (ii) none of them solve the problem (iii) the problem will be solved. [5]
- Chances (probabilities) of solving the problem for A, B, C are in ratio $2 : 3 : 5$. - Total ratio parts $= 2 + 3 + 5 = 10$. Individual probabilities: $$P(A) = \frac{2}{10} = \frac{1}{5}, \quad P(B) = \frac{3}{10}, \quad P(C) = \frac{5}{10} = \frac{1}{2}$$ Mutually Exclusive Events: Two events ...