Question

you pick a card at random.
6 7 8 9
what is p(factor of 60)?
write your answer as a percentage rounded to the nearest tenth.
%

Explanation:

Step1: Find the factors of 60

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. Among the numbers 6, 7, 8, 9, only 6 is a factor of 60.

Step2: Calculate the probability

The probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (cards that are factors of 60) is 1, and the total number of outcomes is 4. So \(P = \frac{1}{4}\).

Step3: Convert to percentage

To convert \(\frac{1}{4}\) to a percentage, we use the formula \(P(\%)=\frac{1}{4}\times100\%\). \(\frac{1}{4}\times100\% = 25.0\%\)

Answer:

25.0%