Question

in a survey of the community, it was found that 70% of people like summer season, 15% like winter season, 20% don't like both the seasons. By drawing Venn diagram, find the number of students who like winter season.

Answer 1

Answer:

Step-by-step explanation:

let s and w denote the set of people who like summer and winter season

n(U)=100%

n(S)=70%

n(W)=15%

n(S union w compliment)=20%

n(s intersection W)=?

n(u)=n(s)+ n(w)+ n(s union w compliment)- n(s intersection w)

or 100%=70% +15%+ 20% - n( s intersection w)

or 100%= 95%- n(s intersection w)

or 100%-95%=n(s intersection w)

or 5%= n( s intersection w)

now;

n(only w)=n(w)- n(s intersection w)

               =15%- 5%

                =10%

10%of people only like winter season.

i think the question is to find people who only like winter season.

if not then ans is 15% according to question.