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Question
Two customers 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. What is the robability that both will visit the shop on the same day?
Solution
Total no. of days to visit the shop = 6 {Mon to Sat}
Total no. possible outcomes = 6 × 6 = 36
i.e. two customers can visit the shop in 36 ways
E⟶ event of visiting shop on the same day.
No. of favourable outcomes = 6 which are (M, M) (T, T) (Th, Th) (F, F) (S, S)
robability, P(E) =`"No.of favorable outcomes"/"Total no.of possible outcomes"`
P(E)=6/36 =1/6
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