Question

In a survey of 500 students of a college, it was found that 49% liked watching football, 53% liked watching hockey and 62% liked watching basketball. Also, 27% liked watching football and hockey both, 29% liked watching basketball and hockey both and 28% liked watching football and basket ball both. 5% liked watching none of these games.

(a)draw a Venn diagram to fill in the data
(b) how many students like watching all the games?
(c) find the ratio of number of students who like watching only football to those who like watching only hockey
(d)find the number students who like watching only one of the three given games
(e)find the number students who like watching at least two of the given games ​

Answer 1

In a survey of 500 students of a college, it was found that 49% liked watching football, 53% liked watching hockey and 62% liked watching basketball. Also, 27% liked watching football and hockey both, 29% liked watching basketball and hockey both and 28% liked watching football and basket ball both. 5% liked watching none of these games.

(a)draw a Venn diagram to fill in the data

(b) how many students like watching all the games?

(c) find the ratio of number of students who like watching only football to those who like watching only hockey

(d)find the number students who like watching only one of the three given games

(e)find the number students who like watching at least two of the given games