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)

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(52903) (Show Source): You can put this solution on YOUR website!
.

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 -  -  -  +  +  +  -  = 0.267  (approximately).


Use Venn diagram.

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