Question

A month of the year is chosen at random. What is the probability that the month has exactly 30 days, given that it is no later than August?
(1 Point)

25%

33%

75%

Answer 1

To find the probability that a randomly chosen month (no later than August) has exactly 30 days, we first need to identify which months have exactly 30 days within that range.

The months no later than August are:
1. January (31 days)
2. February (28 or 29 days, depending on the year)
3. March (31 days)
4. April (30 days)
5. May (31 days)
6. June (30 days)
7. July (31 days)
8. August (31 days)

Out of these months, the ones with exactly 30 days are:
- April
- June

That gives us a total of 2 months with exactly 30 days.

Now, let's count the total number of months no later than August:
- There are 8 months in total (January through August).

Now, we can calculate the probability:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{2}{8} = \frac{1}{4} = 0.25
\]

So the probability that the month has exactly 30 days, given that it is no later than August, is \(25\%\).

Thus, the correct answer is:
**25%**.