Question

You pick a card at random.

3
4
5
6
7
8
9


What is P(factor of 8)?

Write your answer as a fraction or whole number.

Answer 1

To determine the probability \( P(\text{factor of 8}) \), we first need to identify the factors of 8. The factors of 8 are:

1, 2, 4, and 8.

Next, let's see which of the cards drawn (3, 4, 5, 6, 7, 8, 9) are factors of 8. The only factors present in the set are 4 and 8.

Now, we calculate the total number of possible outcomes, which is the total number of cards:

Total cards = 7 (3, 4, 5, 6, 7, 8, 9)

Next, we determine the number of favorable outcomes (factors of 8 from the selected cards):

Favorable outcomes = 2 (4 and 8)

Now we can calculate the probability:

\[
P(\text{factor of 8}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{7}
\]

Therefore, the probability \( P(\text{factor of 8}) \) is \(\frac{2}{7}\).