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

Algebra ->  Customizable Word Problem Solvers  -> Misc -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 120498: 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?
Found 2 solutions by stanbon, Edwin McCravy:
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?
------------------------
Let prob SF plays = 9x
Then probl SF does not play = x
---------------------
x + 9x = 1
10x = 1
x = 1/10
-----------------
Prob(SF plays) = 9*1/10 = 9/10 = 0.9
=============
Cheers,
Stan H.

Answer by Edwin McCravy(20054) 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?

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.

Let p = the probability that San Francisco will play in the next Super Bowl,

Then we read:

>>...The probability that San Francisco plays in the next Super Bowl plus the
probability that they do not play is 1...<<

Which tells us that 

1-p = the probability that San Francisco will not play in the next Super Bowl

Now we read:

>>...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...<<

So that says:

     p = 9(1-p)

     p = 9 - 9p

p + 9p = 9
    
   10p = 9

     p = 9%2F10

Edwin