SOLUTION: Super Bowl contender. 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 th

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Question 177892This question is from textbook Elementary and Intermediate Algebra
: Super Bowl contender. 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 gonzo(654)   (Show Source): You can put this solution on YOUR website!
let a = probability they play in the next superbowl.
let b = probability they do not play in the next superbowl.
p(a) + p(b) = 1
p(a) = 9*p(b)
this means that:
9*p(b) + p(b) = 1
which means:
10*p(b) = 1
divided both sides of this equation by 10, and you get:
p(b) = 1/10 = .1
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since p(a) = 9 * p(b), this means that:
p(a) = .9
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