Q.

A survey was conducted at a high school, and the results were displayed in a circle graph. The students were asked to list their favourite colours. The measurement of each central angle is shown. If a person is chosen at random from the school, find the probability of each response.

Based on the above information, answer the following questions:

 

(ii) What is the probability of favourite colour being blue or green

1 0.1  
2 0.3  
3 0.4  
4 0.5  

Ans.

(2)

Central angle for favourite colour being blue or green = central angle for favourite colour being blue + central angle for favourite colour being green

=72°+36°=108°

Probability of favourite colour being blue or green =Area of region of favourite colour being blue or greenArea of circle

=108°360°×πr2πr2

=310=0.3