SOLUTION: The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays

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Question 165489: The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl?
I do not understand this question, can someone please help?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl?
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Let probability SF plays be 9x; then probability SF does not play is x.
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The probabilities must add up to one.
9x + x = 1
10x = 1
x = 0.1 (this is the probability SF does not play in the SB)
9x = 0.9 (this is the probability SF does play in the SB)
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Cheers,
Stan H.