In a recent survey, 125 people were asked if they went on holiday int the summer,...
In a recent survey, 125 people were asked if they went on holiday int the summer, winter or spring in the past year. The results of the survey are shown below:
- 39 went on holiday in the summer.
- 65 went on holiday in the winter.
- 5 went on holiday in all 3 seasons.
- 23 went on holiday in winter and spring.
- 43 went on holiday in spring.
- 105 went on holiday in one of the seasons.
- 17 went on holiday in summer and winter.
- x went on holiday in summer and spring but not in winter.
(a) Draw a venn diagram from the information given above and determine the value of x.
Determine the:
(b) Probability that a person selected went on holiday in one of the seasons.
(c) Probability that a person selected went on holiday in summer or winter but not in spring.
(d) Probability that a person selected went on holiday in the winter and summer.
(e) Probability that a person selected went on holiday in spring and winter but not summer.
Homework Answers
let number who went on holiday in summer, winter or spring are A,B and C,
a)
from above
x =2
b)
Probability that a person selected went on holiday in one of the seasons =105/125 =0.84
c)
Probability that a person selected went on holiday in summer or winter but not in spring =62/125 =0.4960
d)
Probability that a person selected went on holiday in the winter and summer =17/125 =0.136
e)
Probability that a person selected went on holiday in spring and winter but not summer =18/125 =0.144
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