Question

Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Randomly choosing a number from the multiples of 5 between 21 and 49 inclusive.

Answer 1

Solution

- Probability of an event A is defined by:

$P(A)=\frac{\text{Number of outcomes of A}}{\text{Sample Space}}$

- Randomly choosing multiples of 5 between 21 and 49, we have:

$25,30,35,40,45$

-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:

$P(21\le\text{ multiples of 5 }\le49)=\frac{\text{Multiples of 5 between 21 and 49}}{\text{Total number of values from 21 to 49}}=\frac{5}{29}$

Final Answer

The answer is

$\frac{5}{29}$