Question

If you draw one of 24 slips of paper numbered from 1–24, what is the
probability of drawing a number divisible by 3?
P(E)= 3/24?

Answer 1

What are the numbers divisible by 3, from 1 to 24? You should figure that out

Answer 2

the only numbers divisible by 3 from 1-24 is 1 and 3

Answer 3

Well a number divisible by 3 is any number such that when it's divided by 3, doesn't leave a remainder. For example, 12 is divisible by 3, because 12/3 = 4 with no remainder. But, 13 is not divisible by 3, since 13/3 doesn't leave an integer number.

Answer 4

ok, well what is the formula for this. I want to know the formula as well

Answer 5

Well 3 is obviously divisible by 3, and then every other number divisible by 3 is a multiple of 3.. so
3n, where n = 1, 2, 3, 4...

for example:
3(1) = 3
3(2) = 6
3(3) = 9
... etc. are all divisible by 3

Answer 6

ok. So how do I find the probability

Answer 7

The probability would be:
\[ \frac{\text{The number of {numbers divisible by 3}}}{\text{Total number in sample space (i.e. 24)}}\]

Answer 8

so basically the numerator.. count how many numbers divisible by 3 you have, and divide by 24

Answer 9

8/24

Answer 10

1/3

Answer 11

yeah!