Basic Statistics2080.15 marksNumerical: probability odds problemBasic probability concepts and rules
The odds in against of A solving a problem as 8 to 6 and the odds in favor of B solving the same problem are 14 to 10. What is the probability that (a) both A and B will solve it? (b) A solve it but B fails to solve it?
The odds in against of A solving a problem as 8 to 6 and the odds in favor of B solving the same problem are 14 to 10. What is the probability that (a) both A and B will solve it? (b) A solve it but B fails to solve it? [5]
- Odds against A solving = 8 : 6 - Odds in favor of B solving = 14 : 10 For A (odds against = 8 : 6): Odds against means unfavorable : favorable = 8 : 6, so: $$P(A) = \frac{6}{8+6} = \frac{6}{14} = \frac{3}{7}$$ $$P(A') = 1 - \frac{3}{7} = \frac{4}{7}$$ For B (odds in favor = 14 : 10): Odds in fa...