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Probability, SMB-006

The subject choices in science at a high school are physics, chemistry and biology.

This Venn diagram shows the number of students who are studying each of the subjects.
 

A student studying Biology is chosen a random. 

What is the probability that the student also studies Chemistry?   (2 marks)

--- 5 WORK AREA LINES (style=lined) ---

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`7/40`

Show Worked Solution

`text(Students studying Biology)\ = 4 + 2 + 12 + 62 = 80`

`text(Students studying Biology and Chemistry)\ = 2 + 12 = 14`

`:. P\text{(chosen student studies Chemistry)}`

`= 14/80`

`=7/40`

Filed Under: Relative Frequency and Venn Diagrams Tagged With: num-title-ct-pathb, smc-4815-30-Venn diagrams, smc-4815-50-Conditional probability

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