11.Uttar Pradesh Government conducted a survey of 200 people was about their
preference of visiting various pavilions.
Pavilion Good living Western
Pavilion
Delhi
Pavilion
Toy
Pavilion
Defence
Pavilion
Number of
people
55 40 45 35 25
(i) Find the probability that selected person visited only Western pavilion is
(a) 1
5
(b) 1
10
(c) 1
15
(d) 1
20
(ii) Find the probability that selected person visited both Good living and Delhi
pavilion is
(a) 7
10
(b) 1
2
(c) 1
3
(d) 1
4
(iii) Find the probability that selected person visited only defence pavilion is
(a) 1
7
(b) 1
8
(c) 1
9
(d) 1
10
(iv) Find the probability that selected person visited only Delhi pavilion is
(a) 7
40
(b) 9
40
(c) 11
40
(d) 13
40
(v) Find the probability that selected person visited both Toy and Defence
pavilion is
(a) 1
10
(b) 3
10
(c) 1
10
(d) 7
10
Answers
Given : a survey of 200 people
Pavilion Number of people
Good living 55
Western 40
Delhi 45
Toy 35
Defence 25
To Find : probability that selected person visited only Western pavilion
probability that selected person visited both Good living and Delhi
probability that selected person visited only defence pavilion is
probability that selected person visited only Delhi pavilion is
probability that selected person visited both Toy and Defence pavilion
Solution:
Pavilion Number of people
Good living 55
Western 40
Delhi 45
Toy 35
Defence 25
Total 200
probability that selected person visited only Western pavilion = 40/200
= 1/5
probability that selected person visited either Good living or Delhi
= (55 + 45)/200
= 100/200
= 1/2
probability that selected person visited only defence pavilion
= 25/200
= 1/8
probability that selected person visited only Delhi pavilion
= 45/200
= 9/40
probability that selected person visited either Toy or Defence pavilion
= (35 + 25)/200
= 60/200
= 3/10
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