Question

45% of students of a Padampur Shiksha Niketan school play basketball, 40% play cricket and 30% play both.
If 360 students play neither basketball or cricket, use venn diagram and find the number of students in school.
Also, find the number of students who play only basketball​

Answer 1

Step-by-step explanation:

Given that, 45% play football; that is, P(F) = $$\frac{{45}}{{100}}$$ = $$\frac{{9}}{{20}}$$

30% play volleyball; that is, P(V) = $$\frac{{30}}{{100}}$$ = $$\frac{{6}}{{20}}$$

And, 15% play both volleyball and football; that is, P(F And V) = $$\frac{{15}}{{100}}$$ = $$\frac{{3}}{{20}}$$

Now, we have to find the probability that 1 student plays football or volleyball;

That we have to find, P(F or V)

We know that, P(F Or V) = P(F) + P(V) - P(F And V)

= $$\frac{{9}}{{20}}$$ + $$\frac{{6}}{{20}}$$ - $$\frac{{3}}{{20}}$$

= $$\frac{{12}}{{20}}$$

= $$\frac{{3}}{{5}}$$

Hence, the