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 probability that both will visit the shop on consecutive days?

Answer 1

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 consecutive days

No. of favourable outcomes = (M, T), (T, W), (W, TH), (TH, F), (F, S), (T, M), (W, T), (TH, W), (F, TH), (S, F)

Probability, P(E) = ${\displaystyle \frac{\text{No. of favorable outcomes}}{\text{Total no.of possible outcomes}}}$

P(E) = ${\displaystyle \frac{10}{36}}$

= ${\displaystyle \frac{5}{18}}$