Question

The names of the months of the year are cut from a calendar and put into a bag. A month with more than 5 letters in its name is drawn. What is the probability of the complement of the event? Express your answer as a fraction in simplest form.

Answer 1

Answer:
`(7)/(12)`

Explanation:

First, we need to find how many months have more than 5 letters in their name. There are 7 months with >5 letters and 12 months total.

✓ January

✓ February

✗ March

✗ April

✗ May

✗ June

✗ July

✓ August

✓ September

✓ October

✓ November

✓ December

Next, we will divide the wanted outcomes by the total outcomes.

`\displaystyle \frac{\text{wanted outcomes}}{\text{total outcomes}} =\frac{\text{more than 5 letters}}{\text{all months}}=\frac{7\;\text{months}}{12\;\text{months}} =(7)/(12)`