Consider a company that selects employees for random drug tests. The company uses a computer to randomly select employee numbers that range from 1 to 6857 6857. Find the probability of selecting a number divisible by 1000. Find the probability of selecting a number that is not divisible by 1000.

Question

Mathematics

Finnegan Pruitt

Today, 04:52

Consider a company that selects employees for random drug tests. The company uses a computer to randomly select employee numbers that range from 1 to 6857 6857. Find the probability of selecting a number divisible by 1000. Find the probability of selecting a number that is not divisible by 1000.

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Hulk · Answer 1

1≤1000n≤6857

0.001≤n≤6.857

1≤n≤6

So there are (6-1+1) = 6 multiples of 1000 out of 6857-1+1=6857 numbers.

So

P (1000n) = 6/6857

...

The inverse probability is just 1-P (1000n)

P (!1000n) = 1-6/6857

P (!1000n) = 6851/6857