I need 3 probabilities that are meaningful to the game. First I picked the likelihood you would be one of the 9 contestants picked from 325 people.
Next you are playing Cover Up.
Description of game: On a special game board the contestant is shown the wrong price for the car. The contestant is told that every single number in the price is wrong. In order to win the card, the contestant must "cover-up" each wrong number with the right number. The numbers from which the contestant chooses are in columns above each wrong number (each column contains the correct number for that position).
After the contestant has chosen the five numbers he or she things are correct, the host asks the question "Does (contestant) have the correct price for the car?" If the contestant is correct with all five numbers, contestant wins the car.
If the contestant does not have them all correct, the host then asks whether the contestant has any numbers correct. If there is at least one number correct, the contestant gets to try again.
Once again, the contestant tries to place correct numbers over wrong ones, choosing from the same columns. Then the host asks the same questions as he did previously. Play continues in this manner until the contestant gets all of the numbers correct and wins the car or until the contestant no longer gets any additional numbers correct.
What is the chance you win the car?
lastly assuming you spin first, what are the chances of winning the Showcase Showdown with a 75?
Next you are playing Cover Up.
Description of game: On a special game board the contestant is shown the wrong price for the car. The contestant is told that every single number in the price is wrong. In order to win the card, the contestant must "cover-up" each wrong number with the right number. The numbers from which the contestant chooses are in columns above each wrong number (each column contains the correct number for that position).
After the contestant has chosen the five numbers he or she things are correct, the host asks the question "Does (contestant) have the correct price for the car?" If the contestant is correct with all five numbers, contestant wins the car.
If the contestant does not have them all correct, the host then asks whether the contestant has any numbers correct. If there is at least one number correct, the contestant gets to try again.
Once again, the contestant tries to place correct numbers over wrong ones, choosing from the same columns. Then the host asks the same questions as he did previously. Play continues in this manner until the contestant gets all of the numbers correct and wins the car or until the contestant no longer gets any additional numbers correct.
What is the chance you win the car?
lastly assuming you spin first, what are the chances of winning the Showcase Showdown with a 75?
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The first question is easy: 9/325 is the probability.
For the second question, you left out some important information - "How many numbers does the contestant have to choose from?" In cover-up the contestant usually has 2 choices for the first digit, 3 for the second, etc. up to 6 for the fifth (last) digit.
Assuming that the probability is completely random (knowledge of the car price doesn't help, for example), then the chances of getting it right the first time is:
For the second question, you left out some important information - "How many numbers does the contestant have to choose from?" In cover-up the contestant usually has 2 choices for the first digit, 3 for the second, etc. up to 6 for the fifth (last) digit.
Assuming that the probability is completely random (knowledge of the car price doesn't help, for example), then the chances of getting it right the first time is:
12
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