SOLUTION: Rene and Chris went to a grocery store to buy drinks. They chose from 10 different brands of juice drinks, 6 different brands of carbonated drinks, and 3 different brands of minera

Algebra ->  Probability-and-statistics -> SOLUTION: Rene and Chris went to a grocery store to buy drinks. They chose from 10 different brands of juice drinks, 6 different brands of carbonated drinks, and 3 different brands of minera      Log On


   



Question 1193631: Rene and Chris went to a grocery store to buy drinks. They chose from 10 different brands of juice drinks, 6 different brands of carbonated drinks, and 3 different brands of mineral water. What is the probability that Rene and Chris both chose juice drinks, if Rene randomly chose first and liked the first brand he picked up? Show the solution.

Answer by ikleyn(52848) About Me  (Show Source):
You can put this solution on YOUR website!
.

Hello, after reading your post, I have a question.

What these words mean

    "if Rene randomly chose first and liked the first brand he picked up" ?


What these words mean and how do they relate to the problem ?

Could you clarify PLEASE.


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comment from student : "if Rene randomly chose first and liked the first brand he picked up", this could mean
that Rene is the first one who choose the drinks before Chris. In the question, it said that they both chose juice drinks,
but Rene is the one who choose the drink first and he liked that drink.
I think it is a dependent event wherein one event can influence the other.
I hope this helps you in order for you to help me too.


My response. Thanks for your clarification.

My opinion and my point is that they make their selections INDEPENDENTLY (according to the context).

THEREFORE, I think, that this addition is EXCESSIVE and UNNECESSARY for the problem.
It creates confusion and MUST BE removed, for the clarity of the problem.


As soon as you agree with me and will confirm your agreement by posting to me, I will be ready to solve it for you.


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comment from student : Thanks for your clarification also. I understand it more clearly now.
I first thought that is a dependent event because of the last part. You can solve it now.


                        My response


So, now the problem is

    Rene and Chris went to a grocery store to buy drinks. They chose from 10 different brands of juice drinks, 
    6 different brands of carbonated drinks, and 3 different brands of mineral water. 
    What is the probability that Rene and Chris both chose juice drinks


                        S O L U T I O N


The total number of possible choices is 10 + 6 + 3 = 19.


The probability that Rene chooses one of 10 juice drink is  P = 10%2F19.


The probability that Chris chooses one of 10 juice drink is  P = 10%2F19.


Since their selections are independent, the probability that both choose juice drinks is  the product  

    %2810%2F19%29%2A%2810%2F19%29 = 100%2F361.    


It is the  ANSWER  to the problem's question.

Solved.


Angelica, did your mother or other relatives teach you to thank those who help you ?