Question # 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

# 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 days?

(iii) different days?

Solution

1) Probability of reaching same day

(Tue, Tue), (Wed, Wed), (Thu, Thu), (Fir, Fir), (sat, sat)

= 5/25 = 1/5

2) Probably of reaching on consequential days

(Tue,wed),(wed,tue),(wed,thu),(thu,wed)

(thu,fri), (fri,thu), (fri,sat), (sat,fri)

=8/25

3) Probably of reaching on different days

= 1 - probably of reachinf on same days

= 1 - 1/5

= 4/5