A survey was taken at a high school and the result was put in a circle graph the students were asked to list their favourite colour the measurement of its Central angle is soon. If a student is chosen at random from the school, find the probability of Each response.
(i) what is the probability of favourite colour being red?
a)0.1
b)0.2
c)0.3
d)0.4
(ii) what is the probability of favourite colour being blue or green?
a)0.1
b)0.2
c)0.3
d)0.4
(iii) what is the probability of favourite colour not being red or blue?
a)0.35
b)0.70
c)0.15
d)0.50
iv) what is the probability of favourite colour not being Orange or green?
a)0.65
b)0.75
c)0.25
d)0.50
v) what is the probability of favourite colour begin red or blue?
a)0.2
b)0.3
c)0.1
d)0.4
Answers
Answer:
A- 0.1
B- 0.3
C- 0.70
D- 0.50
E- 0.3
Given : A survey was taken at a hiah school and the results were put in a cindegraph. The students were asked to that their favourite colours. The measurement of each central angle is shown
To Find :
What is the probability of favourite colour being red
What is the probability of favourite colour being blue or green
What is the probability of favourite colour not being red or blue
What is the probability of favourite colour not being red
Solution:
360° angle shows complete data ( 100 %)
central angle Probability
GREEN 36° 36/360 = 1/10 = 0.1
RED 36° 36/360 = 1/10 = 0.1
BLUE 72° 72/360 = 1/5 = 0.2
YELLOW 72° 72/360 = 1/5 = 0.2
ORANGE 144° 144/360 = 2/5 = 0.4
probability of favourite colour being red = 0.1
probability of favourite colour being blue or green = 0.2 + 0.1 = 0.3
probability of favourite colour not being red or blue = 1 - (0.1 + 0.2) = 0.7
probability of favourite colour not being Orange or green = 1 -(0.4 + 0.1)
= 0.5
probability of favourite colour being red or blue = 0.1 + 0.2 = 0.3
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