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Solution


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:

 

(iii) (b) What is the probability of favourite colour not being orange or green
1 1/2  
2 1/4  
3 1/3  
4 1/5  

Ans.

(1)

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

=144°+36°=180°

Probability of favourite colour not being orange or green

 =1-probability of favourite colour being orange or green

=1-Area of region of favourite colour being orange or greenArea of circle

=1-180°360°×πr2πr2

=1-12=12