Question 147139: The probability that San Franciso plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The propability 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?
Answer by mangopeeler07(462)   (Show Source):
You can put this solution on YOUR website! To answer this question, first assign a variable for the probability of not playing. How about x? Given that the probability of not playing is x, then the probability of playing would be 9 times x, or 9x (this is given in the question). The sum of both probabilities is 1, so given this information, you can make an equation and solve.  Combine like terms and get  . Then to isolate the variable, divide both sides by 10 and get  . There, you have the variable! But do not stop there! x represents the probability of not playing, but we want the probability of playing, right? Since the probability of playing is 9x, plug in 1/10 for x. Your expression should look like  . Your answer should be 9/10 because it is  . So 9/10 is the probability that San Francisco plays in the next Super Bowl.
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