Simulating weighted random number - Java

I looked at multiple stack overflow articles and couldn't find a reasonable response. If there is a duplicate please indicate.

I have a list of items. Something like:

String giantRat []={"Bandage", "Healing Potion", "Minor Healing Potion", "Rat Teeth", "Fur", "Rat Tail", ""};

This indicates the possible items this giantRat can drop.

There is a correlated array with matching index that holds what I would hope is the weighted probability of the occurence. Something like:

int giantRatDropRate[]={1,1,1,6,8,3,5};

These would be scaled up to say, 50 (multiplied each by 2) and then I would theoretically role a 50 sided dice (Random). This seems like it's been the wrong approach and I can't figure out a way to do this.

Again, the idea is to roll a die and choose 1 item from the list based on weighting. Maybe the dice roll is the wrong way. Any help appreciated.