SOLUTION: 1.a Courtney has baked some cookies for her friends. On the platter, there are 16 oatmeal cookies, 12 peanut butter cookies, and 8 ginger cookies. If Courtney's friend picks up two

Algebra ->  Probability-and-statistics -> SOLUTION: 1.a Courtney has baked some cookies for her friends. On the platter, there are 16 oatmeal cookies, 12 peanut butter cookies, and 8 ginger cookies. If Courtney's friend picks up two      Log On


   

Question 1157047: 1.a Courtney has baked some cookies for her friends. On the platter, there are 16 oatmeal cookies, 12 peanut butter cookies, and 8 ginger cookies. If Courtney's friend picks up two cookies from the platter, what is the probability that one will be an oatmeal cookie and one will be a ginger cookie?
B. If a bag contains seven red marbles, four green marbles, seven blue marbles, and six yellow marbles. If Lisa draws a random marble from the bag, what is the probability that it will be a red, green, or blue marble?
C. If there are 935 students at Stoneville High School. At the school, 27 seniors are in the band, and there are 215 students in the band overall. What is the probability that a student is a senior given that they are in the band?
Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
.

(B)  16 + 12 + 8 = 36


     P(one is oatmeal, other is ginger) = P(first is oatmeal, second is ginger) + P(first is ginger, second is oatmeal) = 

                                        = %2816%2F36%29%2A%288%2F35%29 + %288%2F36%29%2A%2816%2F35%29.


     I showed you the structure of the formula.

     The formula itself is SEMI-EXPLANATORY.

     You complete calculations to get the value ON YOUR OWN.




(B)  7 + 4 + 7 + 6 = 24.


     P = P(red) + P(green) + P(blue) = 7%2F24 + 4%2F24 + 7%2F24.



     I showed you the structure of the formula.

     The formula itself is SEMI-EXPLANATORY.

      You complete calculations to get the value ON YOUR OWN.



(C)  P = seniors%2F%28all_in_the_band%29 = 27%2F215.

Solved. All questions are answered.

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I recommend you to read my introductory lessons on Elementary probability theory
    - Simple and simplest probability problems
    - Solving probability problems using complementary probability
    - Elementary Probability problems related to combinations
    - A True/False test
    - A multiple choice answers test
    - Conditional probability problems
    - Typical probability problems from the archive
    - Experimental probability problems
    - Elementary operations on sets help solving Probability problems
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Solved problems on Probability".


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.

Consider these lessons as your textbook,  handbook,  a Solutions Manual,  tutorials and  (free of charge)  home teacher.
Happy learning (!)