Respuesta :
Solution
- Probability of an event A is defined by:
[tex]P(A)=\frac{\text{Number of outcomes of A}}{\text{Sample Space}}[/tex]- Randomly choosing multiples of 5 between 21 and 49, we have:
[tex]25,30,35,40,45[/tex]-There are 5 numbers in total. This means that the Number of Outcomes is 5.
- Between 21 and 49, there are 29 numbers. This represents the Sample Space.
- Thus, we can proceed to find the probability of choosing a multiple of 5 between 21 and 49 as follows:
[tex]P(21\le\text{ multiples of 5 }\le49)=\frac{\text{Multiples of 5 between 21 and 49}}{\text{Total number of values from 21 to 49}}=\frac{5}{29}[/tex]Final Answer
The answer is
[tex]\frac{5}{29}[/tex]