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A five-digit number is chosen at random from all possible five-digit numbers. Find the probability that the number is NOT divisible by every element of ( 1,2,3,4,5) 

 Feb 10, 2022
 #1
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What are the prime factors here

2,3,5,  but we need another 2 to make 4

2*3*5*2=60

10000 / 60 =166 and a bit

so the smallest that is a multiple of 60 is 60*167

 

99999/60=1666 and a bit

so the biggest that is a multiple of 60 is 60*1666

 

1666-167+1 = 1500

There are 1500 numbrs that are divisable by all of those numbers.

 

Now, you tell me, what do you do next?

 

 

Please other answerers, let the asker answer this.

 Feb 10, 2022

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