The Venn diagram above shows the number of students offering physics and chemistry in a class of 65. What is the probability that a student selected from th...

The Venn diagram above shows the number of students offering physics and chemistry in a class of 65. What is the probability that a student selected from the class offers physics and chemistry if every students offers at least one subject?

Answer Details

65 = 30 -x + x + 45 - x 

65 - 75 = 10 = x  ( number of students offering both subjects)

Pr( students offering both subjects $\text{students offering both subjects}$) = 1065 $\frac{\mathrm{<br>}}{}$ = 213