What do I choose?Number Theory Level 3
"Very well, you have completed my first puzzle. Now, I will give you two choices.
Option 1. I will randomly choose a number,\(n\), from 1-100 inclusive. If the following statement: \[3|5n^2+7n-4\] is true, you will live, or else, the walls will close in and crush you.
Option 2. I will roll a 6 sided die, if the resulted number is divisible by 3, you will live, else, you know what happens.
Which choice would have a higher probability of allowing you to live?