Question 1167450
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Suppose you are planning to throw a party this weekend and invite 5 friends. Knowing your friends’ history, 
some of them tend to cancel at the last minute. Mike has shown up to 95% of the time, Jamie has shown up 80% of the time, 
Jack shows up 75% of the time, Aimee shows up 85% of the time, and Kris shows up 50% of the time. 
Suppose that a chance an individual friend shows up is independent.



(a)    Find the probability that all the friends show up to the party.


<pre>
         P = 0.95*0.80*0.75*0.85*0.50 = use your calculator.


         You simply need to multiply all relevant probabilities 

             (because the events are independent).
</pre>


(b)  &nbsp;&nbsp;Find the probability that no of the friends up to the party.


<pre>
        P = (1-0.95)*(1-0.8)*(1-0.75)*(1-0.85)*(1-0.50) = use your calculator.



         Again, you simply need to multiply all relevant probabilities 

             (because the events are independent).

         This time the relevant probabilities are the <U>COMPLEMENTS (!) to the given probabilities</U>.
</pre>

Solved.


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To better learn the subject, &nbsp;read this lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-probability-problems-using-complementary-probability.lesson>Solving probability problems using complementary probability</A> 

in this site.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic &nbsp;"<U>Solved problems on Probability</U>". 



Save the link to this textbook together with its description


Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson


into your archive and use when it is needed.