help

ugh...

 

When I wanted to click "Show Preview", they deleted my answer...

 

So... here we go again:

 

$\frac{\mbox{Total number of all possible solutions}}{\mbox{Total number of all solutions}}$

 

In the set, we can choose 100 numbers $\Rightarrow$$\frac{n}{100}$, where n is a positive integer.

 

From those 100 numbers, ( 100 / 2 = ) 50 numbers are divisible by 2.

 

From those 50 numbers,

 

50 / 6 = 8 mod 2 $\Rightarrow$ 8 numbers

 

are divisible by 6.

 

Subtract both numbers $\Rightarrow$ 50 - 8 = 42 numbers, so

 

42 / 100 = 21 / 50 .

 

Thus, our answer is 21 / 50.

2 , 4 , 8 , 10 , 14 , 16 , 20 , 22 , 26 , 28 , 32 , 34 , 38 , 40 , 44 , 46 , 50 , 52 , 56 , 58 , 62 , 64 , 68 , 70 , 74 , 76 , 80 , 82 , 86 , 88 , 92 , 94 , 98 , 100>>Total==34 such integers.

 

The probability is: 34 / 100==17 / 50