SOLUTION: A five-digit number is chosen at random, one at a time. Find the probability that the number is NOT divisible by every element of (1,2,3,4,5,6)

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Question 1108326: A five-digit number is chosen at random, one at a time. Find the probability that the number is NOT divisible by every element of (1,2,3,4,5,6)
Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
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1.  The set of five-digit numbers that are NOT divisible by every element of (1,2,3,4,5,6) is the same as 
    the set of five-digit numbers that are NOT divisible by every element of (2,3,5).



2.  The probability that a five-digit number chosen at random, one at a time is NOT divisible by every element of (2,3,5) is 

    P = 1 - 1%2F2 - 1%2F3 - 1%2F5 + 1%2F%282%2A3%29 + 1%2F%282%2A5%29 + 1%2F%283%2A5%29 - 1%2F%282%2A3%2A5%29 = 0.267  (approximately).


Use Venn diagram.