SOLUTION: The probability that it will rain on Saturday is 2/3. The probability that the temperature on Saturday will reach 100°F is 4/9. The probability that it will rain or reach 100°F on

Algebra ->  Permutations -> SOLUTION: The probability that it will rain on Saturday is 2/3. The probability that the temperature on Saturday will reach 100°F is 4/9. The probability that it will rain or reach 100°F on      Log On


   

Question 924410: The probability that it will rain on Saturday is 2/3. The probability that the
temperature on Saturday will reach 100°F is 4/9. The probability that it will rain or reach 100°F on Saturday is 4/5. What is the probability it will rain and reach 100°F on Saturday?

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Let A = "It will rain Saturday"
Let B = "It will reach 100°F Saturday"

matrix%281%2C3%2C++%22P%28A%22%2Cor%2C%22B%29%22%29%22%22=%22%22%22P%28A%29%22%22%22%2B%22%22%22P%28B%29%22%22%22-%22%22matrix%281%2C3%2C++%22P%28A%22%2Cand%2C%22B%29%22%29

4%2F5%22%22=%22%222%2F3%22%22%2B%22%224%2F9%22%22-%22%22matrix%281%2C3%2C++%22P%28A%22%2Cand%2C%22B%29%22%29

Multiply through by LCD of 45:

36%22%22=%22%2230%22%22%2B%22%2220%22%22-%22%22matrix%281%2C3%2C++45%2A%22P%28A%22%2Cand%2C%22B%29%22%29

36%22%22=%22%2250%22%22-%22%22matrix%281%2C3%2C++45%2A%22P%28A%22%2Cand%2C%22B%29%22%29 

-14%22%22=%22%22%22%22-%22%22matrix%281%2C3%2C++45%2A%22P%28A%22%2Cand%2C%22B%29%22%29 

%28-14%29%2F%28-45%29%22%22=%22%22matrix%281%2C3%2C++%22P%28A%22%2Cand%2C%22B%29%22%29

%2814%29%2F%2845%29%22%22=%22%22matrix%281%2C3%2C++%22P%28A%22%2Cand%2C%22B%29%22%29

Edwin