Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday
to Saturday). Each is equally likely to visit the shop on any day as on another day.
The probability that both will visit the shop on different days is;

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

0.9

0.8

0.7

0.6

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

The probability that both will visit the shop on different days is 0.8.
It is given two customers Shyam and Ekta are visiting a particular shop in the same week.
The probability of an event E is given as-

P (E) = N u m b e r o f o u t c o m e s f a v o u r a b l e t o E N u m b e r o f a l l p o s s i b l e o u t c o m e s o f t h e e x p e r i m e n t

Given, Shyam and Ekta are visiting a particular shop in the same week from Tuesday to Saturday and each is equally likely to visit the shop on any day as on another day, i.e,
Possible outcomes=(T,T) (T,W) (T, Th) (T,F) (T,S)
(W,T) (W,W) (W, Th) (W,F) (W,S)
(Th,T) (Th,W) (Th,Th) (Th,F) (Th,S)
(F,T) (F,W) (F,Th) (F,F) (F,S)
(S,T) (S,W) (S,Th) (S,F) (S,S)
where, T=Tuesday, W=Wednesday, Th=Thursday, F=Friday, S=Saturday
Therefore, total possible outcomes = 25
The favorable cases for which both will visit the shop on the same day:
(T,T) (W,W) (Th,Th) (F,F) (S,S)
So, Number of favorable cases=5
Therefore, the probability that both will visit the shop on same days is-