Question

you pick a card at random.
6 7 8 9
what is p(factor of 30)?
write your answer as a percentage.
%

Explanation:

Step1: Identify factors of 30

Factors of 30 are numbers that divide 30 without remainder. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. From the cards (6,7,8,9), only 6 is a factor of 30.

Step2: Calculate probability

Total number of cards = 4. Number of favorable outcomes (factor of 30) = 1. Probability \( P = \frac{\text{favorable}}{\text{total}} = \frac{1}{4} \).

Step3: Convert to percentage

To convert to percentage, multiply by 100: \( \frac{1}{4} \times 100 = 25\% \).

Answer:

25