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Question

# Two customers A and B are visiting a particular shop in the same week (Monday to Friday). Each of them is equally likely to visit the shop on any of these days. The probability that both will visit the shop on consecutive days is: [1 mark]

A
425
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B
825
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C
1225
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D
1625
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Solution

## The correct option is B 825A and B can visit the shop on Monday, Tuesday, Wednesday, Thursday, and Friday. Let M = Monday, T = Tuesday, W = Wednesday, Th = Thursday, F = Friday Then, the total possible outcomes are: (M, M), (M, T), (M, W), (M, Th), (M, F) (T, M), (T, T), (T, W), (T, Th), (T, F) (W, M), (W, T), (W, W), (W, Th), (W, F) (Th, M), (Th, T), (Th, W), (Th, Th), (Th, F), (F, M), (F, T), (F, W), (F, Th), (F, F) Total possible outcomes = 25 A and B visit the shop on consecutive days. Favourable outcomes = (M, T), (T, M), (T, W), (W, T), (W, Th), (Th, W), (Th, F), (F, Th) = 8 outcomes ∴Probability=Number of favourable outcomesNumber of possible outcomes =825

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