Win That PrizeLogic Level 2
You are on a game show and is playing in the jackpot round.
In jackpot round, the host says you have 3 doors to choose from, one of these doors contain the prize, a new car, and the other 2 contain rocks.
You are given 2 chances to open 2 doors. You nervously open door 2, and it turns out to contain rocks, you are given 1 chance left, but the round gets more intense as the host adds 5 more doors and changes the room where the prize is, but the host adds 2 consolation prizes, $5,000 and $10,000, into random rooms, and gives you an additional chance.
What would be the percentage that you will win one of three prizes that lies in one of the rooms?