SOLUTION: In this carnival game project(that we have to do for math end of the year project), round 1 goes like this. Out of a deck of cards, you pull a card. If that card is a queen of hear

Question 451341: In this carnival game project(that we have to do for math end of the year project), round 1 goes like this. Out of a deck of cards, you pull a card. If that card is a queen of hearts, you automatically win. If that card is a queen, or a heart(but a king of hearts will make you lose), you must go to the next round. Any other card(or a king of hearts), and you lose. I figured the probability of winning, losing, and moving to round two, on this to be 1/52 winning, 37/52 losing, and 14/52 moving to round two.
In round two, there are 10 cups(3 blue, 4 red, 3 clear). Players must bounce a ball. If the ball lands in a blue cup, they win. If the ball lands in a red cup, they lose. If the ball lands in a clear cup, they must move to round three. I figured the probability of winning round two to be 3/10, the probability of losing round two to be 4/10, and the probability of moving to round 3 to be 3/10.
In round three, players must pick a card from a deck of cards. If that card is a queen of hearts, they win. Any other card, and they lose. The probability of winning round 3 is 1/52, and the probability of losing round 3 is 51/52.
My question is this: What is the probability of winning the whole game?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The results of each round are independent.
Find the probability of winning each round and multiply
those probabilities.
Cheers,
Stan H.
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