Question

For a class activity each student randomly chooses a number from 1 to 10 which model shows the probability of a student choosing a multiple of four
A. 2/8
B. 2/10
C. 8/2
D. 10/2

Answer 1

To determine the probability of a student choosing a multiple of four from the numbers 1 to 10, we first need to identify the multiples of four within that range.

The multiples of four between 1 and 10 are:
- 4
- 8

So, there are 2 multiples of four (4 and 8) in the range from 1 to 10.

Next, we calculate the probability, which is the number of favorable outcomes (choosing a multiple of four) divided by the total number of possible outcomes (choosing any number from 1 to 10).

There are a total of 10 numbers (1 to 10), and 2 favorable outcomes (the multiples of 4).

Thus, the probability is:
\[
\text{Probability} = \frac{\text{Number of multiples of 4}}{\text{Total numbers}} = \frac{2}{10}
\]

Now, we can compare this with the options provided:

A. \( \frac{2}{8} \)
B. \( \frac{2}{10} \)
C. \( \frac{8}{2} \)
D. \( \frac{10}{2} \)

The correct answer is **B. \( \frac{2}{10} \)**.