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 divisible by 3?

Respuesta :

Answer:

So, the probability is P=2/3.

Step-by-step explanation:

We 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 divisible by 3.

It actually means: How likely are we to choose a number not divisible by 3.

In integers 1 to 24, the following numbers are divisible by 3:

3, 6, 9, 12, 15, 18, 21, 24

So there are 8 numbers in total.  

So, 16 numbers not divisible by 3.

We get

[tex]P=\frac{16}{24}\\\\P=\frac{2}{3}\\[/tex]

So, the probability is P=2/3.

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