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A month is randomly selected from the pages of a calendar.

A standardized measure to define the chances of occurrence for any event is probability.

Mathematically, probability is defined as follows:

$P\left(E\right)=\frac{\text{Number}\text{of}\text{favourable}\text{outcomes}}{\text{Total}\text{number}\text{of}\text{outcomes}}$ for any event E.

It ranges from 0 to 1 in measure.

A calendar for a specific year would consist of 12 possible outcomes(12 months), namely:

1. January

2. February

3. March

4. April

5. May

6. June

7. July

8. August

9. September

10. October

11. November

12. December

Consider event Aas the name of the randomly selected month contains letter y.

Thus, the number of months that contain letter y is 4.

The total number of months is 12.

Thus, the probability that event A occurs is:

$$\begin{gathered} P\left(A\right)=\frac{4}{12} \\ =\frac{1}{3} \\ =0.333 \end{gathered}$$

Therefore, the probability of randomly selecting a month with lettery is 0.333 or $\frac{1}{3}$.