Question

you spin the spinner once.

spinner image: divided into three sections labeled 1, 2, 3

what is ( p(\text{factor of } 48) )?
write your answer as a percentage.
blank box %
submit

Explanation:

Step1: Identify factors of 48

First, find the factors of 48. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Now, check which numbers on the spinner (1, 2, 3) are factors of 48. 1, 2, 3 are all factors of 48.

Step2: Determine the number of favorable and total outcomes

The spinner has 3 sections (1, 2, 3), so total outcomes \( n = 3 \). The favorable outcomes (numbers that are factors of 48) are 1, 2, 3, so number of favorable outcomes \( m = 3 \).

Step3: Calculate the probability

Probability \( P=\frac{m}{n}=\frac{3}{3} = 1 \). To convert to percentage, multiply by 100: \( 1\times100 = 100\% \).

Answer:

100%