Questions: Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Randomly choosing a number from the odd numbers between 20 and 30 The sample space is . (Use a comma to separate answers as needed. Use ascending order.) There are outcome(s) in the sample space.

Identify the sample space of the probability experiment and determine the number of outcomes in the sample space.
Randomly choosing a number from the odd numbers between 20 and 30

The sample space is .
(Use a comma to separate answers as needed. Use ascending order.)
There are outcome(s) in the sample space.

Transcript text: Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Randomly choosing a number from the odd numbers between 20 and 30 The sample space is $\{$ $\square$ \}. (Use a comma to separate answers as needed. Use ascending order.) There are $\square$ outcome(s) in the sample space.

Solution

Solution Steps

Step 1: Identify the First Multiple

To find the first multiple of $n=2$ that is greater than or equal to $a=21$, we calculate $a + (n - a \mod n) \mod n = 22$.

Step 2: Identify the Last Multiple

To find the last multiple of $n=2$ that is less than or equal to $b=29$, we calculate $b - b \mod n = 28$.

Step 3: Calculate the Number of Multiples

The number of multiples of $n=2$ between $a=21$ and $b=29$, inclusive, is calculated by the formula $\left(\frac{b - b \mod n - (a + (n - a \mod n) \mod n)}{n}\right) + 1 = 4$.

Step 4: Generate the Sample Space

The sample space of multiples of $n=2$ between $a=21$ and $b=29$, inclusive, is: [22, 24, 26, 28].