SOLUTION: Is it D? I want to check my answer. A teacher asked students in his class if they had any brothers or sisters. The results are shown below. What is the chance of randomly select

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Question 1161046: Is it D? I want to check my answer.
A teacher asked students in his class if they had any brothers or sisters. The results are shown below. What is the chance of randomly selecting someone from this group with a brother given that they have a sister?
P(Brother|Sister)
A. 5/12
B. 5/17
C. 5/9
D. 5/14

The Venn diagram for the question and the question itself are provided in the link here: https://i.imgur.com/Y4MOmRK.png

Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
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The diagram under the link shows, that there are 12 students in the class who have sister/sisters.


We can consider these 12 students as the population's part described by this fragment of the condition


           +------------------------------------+
           |  "given that they have a sister".  |
           +------------------------------------+


Of these 12 students, 5 have a brother/brothers.


Therefore, the probability under the problem's question is  5%2F12.


The  ANSWER  is option A.

Solved.

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An important post-solution note.

    The important part is that the brothers or sisters can be not at / (or from) the given class.

    They (the sisters and the brothers) can be from totally different sets outside the class.



    Also, it is important to understand that the circles "brothers" and "sisters" on Venn  diagram DO NOT REPRESENT the girls or the boys.

    They represent partial populations of the class united according to the principle "has or not has this feature".


    It is similar to as if the students in the class were wearing special badges "have a brother", or "have a sister", OR BOTH (!)


If you understand all of that,  it means that you understand the problem  ADEQUATELY.


This problem  TEACHES  YOU  to understand the given description adequately.