SOLUTION: The number of male and female students in section A whose favorite milk tea flavor is either chocolate or cookies and cream is shown below: Chocolate: Male: 8 Female: 12 Tota

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Question 1193633: The number of male and female students in section A whose favorite milk tea flavor is either chocolate or cookies and cream is shown below:
Chocolate:
Male: 8
Female: 12
Total: 20
Cookies and Cream:
Male: 10
Female: 10
Total: 20
*
Total of all male: 18
Total of all female: 22
Total of all students: 40
Questions:
1. Find the probability that the student was a male, given that his favorite was chocolate milk tea.​
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
.

The solution assumes that YOU (not a tutor) make an appropriate Table, adequate to the given description.


Having this Table, the solution is very easy:


    You then should select two numbers from the Table:

        (a)  the total of students in the category "chocolate"

        (b)  the number of males in the category "chocolate".
 

    As soon as you correctly determine these numbers, the sough probability is the ratio 
    of the number (b) to the number (a).


You even can solve the problem without making a Table (I don't know what your teacher requires from you as a solution).


Simply extract the needed info (a) and (b) from the given text as I described above, and proceed further as instructed.


Keep in mind that    : it is not my task or my duty or my intention.


My task is to instruct / (to explain) you what    should do.


Also, did your mother or other relatives teach you to thank those who help you ?
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

Table:
MaleFemaleTotal
Chocolate81220
Cookies & Cream101020
Total182240

"Given his favorite was chocolate milk tea" means we focus solely on the first row labeled "Chocolate"
There are 8 males that like this flavor out of 20 people who liked this flavor.
8/20 = (4*2)/(4*5) = 2/5 is the probability of selecting a male student given that his favorite was chocolate milk tea.​

Answer: 2/5
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