Section-II
Both the Case Study based questions are compulsory. Attempt any 4 sub parts from
each question 17 and 18. Each question carries 1 mark.
17
After her class XII examination got over, Juhi decided to go on a trip which she had
long waited for. Upon having a prolonged discussion with her parents, Juhi and her
family decided to visit four cities Bangalore, Chennai, Hyderabad & Kochi. What is
the probability that they visit.
(1) Bangalore before Chennai.
1
(c)1/6
(b)1/3
(d)1/12
(a)1/2
12
6
3
2
(i) Bangalore before Chennai and Chennai before Hyderabad.
1
1
1
1
(d)1/12
(c)1/4
(b)1/6
(a)1/2
12
4
6
2
(ii) Bangalore first and Chennai in last.
1
(d)1/12
(c)1/4
(b)1/6
(a)1/3
12
4.
3
6
3
Answers
Given : Juhi and her family decided to visit four cities Bangalore, Chennai, Hyderabad & Kochi.
To Find : Probability they visit
Bangalore before Chennai.
Bangalore before Chennai and Chennai before Hyderabad.
Bangalore first and Chennai in last.
Solution:
4 cities can be vested in 4! = 24 ways
Bangalore before Chennai.
Bangalore 1st - Chennai can be in 3 ways
Bangalore 2nd Chennai can be in 2 wats
Bangalore Chennai can be in 1 way
Total 6 ways
Probability = 6/24 = 1/4
Bangalore before Chennai and Chennai before Hyderabad.
BCHK
BKCH
BCKH
KBCH
4 ways
Probability = 4/24 = 1/6
Bangalore first and Chennai in last.
BHKC
BKHC
2 ways
Probability = 2/24 = 1/12
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