What is the probability of the sum of two odd numbers to be even

Please find below the solution to the asked query:

We know :  Probability P ( E )  = $\frac{\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{desired} \mathrm{events} \mathrm{n} ( \mathrm{E} )}{\mathrm{Total} \mathrm{number} \mathrm{of} \mathrm{events} \mathrm{n} ( \mathrm{S} )}$

But we know sum of any two odd number is always an even number , So

Total desired events n ( E ) =  total number of events n ( S )

Therefore,

Probability of the sum of two odd numbers to be even =  1                                             ( Ans )

Hope this information will clear your doubts about topic.