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. What is the probability that both will visit the shop on

i) the same day?

ii) consecutive day?

iii) Different day?

cn u plzz elaborate???

first row and first coloumn represent shyam and ekta visiting the shop

the rest is the result

this problem is similiar as how we do the problem of finding probability we 2 dice are thrown

total no. of elementary events = 25

because they can visit the shop on 2 days in 5 * 5 ways

1) tuesday, wednesday thursday, friday, saturday

favourable no. of ways = 6

probability that they will visit the shop on same day = 6/36 = 1/6

2)

favourable outcomes are:

tues,wed wed,thurs thurs,fri fri,sat

probability that they visit on consecutive days = 4/36 = 1/9

3)

probability that they visit on different days = 1 - probability that they visit on same day

1 - 1/6 = 5/6

 in the last part of the question, probability = 1 - 1/5 = 4/5

for visiting in consecutive days (ii)there are 8 favourable out comes not just 4,i.eshyam S on tue ekta E on wedekta E on tue shyam S on wedlike that vice versa

so probability is 8/25.