You have the numbers 1–24 written on slips of paper. If you choose one slip at random, what is the probability that you will NOT select a number which is a multiple of 3?
a. 2/3
b. 3/8
c. 1/3
d. 5/8
How many multiples of three are there in 1-24
To find the probability of not selecting a number that is a multiple of 3, we need to determine how many numbers from 1 to 24 are multiples of 3 and subtract that from the total number of choices.
Step 1: Count the numbers that are multiples of 3.
There are 8 numbers from 1 to 24 that are multiples of 3: 3, 6, 9, 12, 15, 18, 21, and 24.
Step 2: Calculate the total number of choices.
Since we have numbers 1-24 written on slips of paper, the total number of choices is 24.
Step 3: Subtract the number of multiples of 3 from the total number of choices to find the number of non-multiples of 3.
24 - 8 = 16
Step 4: Calculate the probability.
The probability of not selecting a multiple of 3 is the number of non-multiples of 3 divided by the total number of choices.
Probability = Number of non-multiples of 3 / Total number of choices = 16 / 24 = 2/3
Therefore, the correct answer is (a) 2/3.