Question

Two customers Priya and Amuthan are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another day. What is the probability that both will visit the shop on different days?

Answer 1

Sample space (S) = 6 × 6 = 36

n(S) = 36

[priya and Amuthan are visiting a particular shop in any one of 6 days is 6 × 6 = 36]

Let B be the event of shopping in different days.

n(B) = 36 – 6 = 30

P(B) = `("n"("B"))/("n"("S"))`

= `30/36`

= `5/6`