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When you pull from the "1 gold ball, 1 silver ball" box, you have 50% chance it's a gold ball. When you pull from the "2 golden balls" box, you have 100% chance to pull a golden ball
All options:
FIRST ROUND
>Mixed box:
>silver ball pulled=>eliminated
>Golden ball pulled
>Golden box:
>Golden ball pulled
>golden ball pulled
SECOND ROUND
>Mixed box:
>Silver ball pulled
>Golden box:
>Golden ball pulled
Results:
FIRST ROUND = 3/4 you pull a golden ball (75%)
SECOND ROUND = 1/2 you pull a golden ball(50%)
>Chance to pull golden ball from the START OF THE GAME: (75/100)*+50/100)*100=37.5%
>Chance to pull golden ball in THE SECOND ROUND: 50%