The probability of a particular outcome to happen can be calculated by
[tex]P(\text{outcome) = }\frac{Number\text{ of required outcomes}}{\text{Number of possible outcomes}}[/tex]In this case, the total number of possible outcomes is 100.
The numbers greater than 75 are 25.
Therefore, we can calculate the probability of having a number greater than 75 as
[tex]P(\text{number greater than 25) = }\frac{25}{100}=\frac{1}{4}[/tex]There are 180 days in a school year.
Hence, the number of days in the school year where the number picked will be greater than 25 can be calculated as
[tex]\begin{gathered} \text{Number of days in school year }\times\text{ Probability of number greater than 75} \\ =180\times\frac{1}{4} \\ =45 \end{gathered}[/tex]Therefore, there could be 45 days where the number of the day would be greater than 75.
