Question

If a month is randomly selected after mixing the pages from a calendar, what is the probability that it is a month containing the letter y?

Short answer

The probability that a month with letter y is selected at random is $\frac{1}{3}$.

Step-by-step solution

Given information

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

Describe the probability of any event

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.

Identify the outcomes

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

Define the event and compute the probability

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 $\frac{1}{3}$.