Two clients Shyam and Ekta are visiting a specific shop around the same time (Tuesday to Saturday). Each is similarly prone to visit the shop on any day as on one more day. What is the likelihood that both will visit the shop on
Two clients Shyam and Ekta are visiting a specific shop around the same time (Tuesday to Saturday). Each is similarly prone to visit the shop on any day as on one more day. What is the likelihood that both will visit the shop on

(I) that very day?

(ii) back to back days?

(iii) distinctive days?

Solution:

Since there are 5 days and both can go to the shop in 5 different ways each thus,

The complete number of potential results = 5×5 = 25

(I) The quantity of ideal occasions = 5 (Tue., Tue.), (Wed., Wed.), (Thu., Thu.), (Fri., Fri.), (Sat., Sat.)

Thus, P (both visiting around the same time) = 5/25 = ⅕

(ii) The quantity of ideal occasions = 8 (Tue., Wed.), (Wed., Thu.), (Thu., Fri.), (Fri., Sat.), (Sat., Fri.), (Fri., Thu.), (Thu., Wed.), and (Wed., Tue.)

Thus, P(both visiting on the sequential days) = 8/25

(iii) P (both visiting on the distinctive days) = 1-P (both visiting around the same time)

Thus, P (both visiting on the distinctive days) = 1-(⅕) = ⅘