Compute the probability of event E if the odds in favor of E

Compute the probability of event E if the odds in favor of E are 3/19 14/27 6/11 11/7 P(E) = (Type the probability as a fraction. Simplify your answer)

Solution

(A) Given odds in the favour of event E are 3/19

Therefore, probability = 3/(3+19) = 3/22

(B) Given odds in favour of event E are 14/27. Therefore,

probability = 14/(14+27) = 14/41

(c) Given odds in favour of event E are 6/11. Therefore,

probability = 6/(6+11) = 6/17

(d) Given odds in favour of event E are 11/7. Therefore,

probability =11/(11+7) = 11/18