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 play

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Question 212717This question is from textbook Elementary and Intermediate Algebra
: 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? This question is from textbook Elementary and Intermediate Algebra

Answer by nerdybill(7384) (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?
.
Let x = probability that SF do NOT play in the next Super Bowl
then
9x = probability that SF plays in the next Super Bowl
.
From:"The probability that San Francisco plays in the next Super Bowl plus the
probability that they do not play is 1." we get our equation:
x + 9x = 1
10x = 1
x = 1/10 = .1 = 10%
.
9x = 9 * .1 = .9 = 90% (probability that SF plays in the next Super Bowl)