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?


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