"Card problems, Types OF events, Odds in Favour & Odds in Against"

Card Problems|| Types OF Events|| Odds in Favour || Odds in Against

The odds against A solving a certain problem are 3 to 2 and the odds in favour of B solving the same are 2 to 1. The probability that the problem will be solved if they both try, is

The odds against A solving the problem are 4 to 3 and the odds in favour of B solving the . problem are 7 to 5. Find the probability that the problem will be solved.

In solving any problem, odds against A are 4 to 3 and in favour of Bin solving the same is 7 to 5. The probability that problem will be solved is

The odds against P solving a problem are 8 : 6 and odds in favour of Q solving the same problem are 14 : 10 The probability of the problem being solved, if both of them try it, is

If 5/14 is the probability of occurrence of an event, find (i) the odds in favour of its occurrence (ii) the odds against its occurrence