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Class 10
Mathematics
Probability
two customers shyam and ekta are visiting a partic...

Question:
Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on (i) the same day? (ii) consecutive days? (iii) different days?

Answer:

Since the number of days on which they both visit is 5 (Tuesday, Wednesday, Thurday, Friday, Saturday) they both can visit in 5 ways.

Therefore, total no of possible outcomes 5×5 = 25

(i) When the both visits the same day

Total no of favourable outcomes = 5 (Tuesday, Tuesday)

(Wednesday, Wednesday) (Thursday,Thursday) (Friday, Friday) (Saturday, Saturday)

So,P(both visiting the same day) = 5/25 = 1/5

(ii) When they visits on consecutive days 8 (Tuesday, Wednesday)

(Wednesday, Thursday) (Thursday, Friday) (Friday, Saturday) (Saturday, Friday) (Friday, Thursday)

(Thursday, Wednesday) and (Wednesday, Tuesday)

P (both visitng the consecutive days) = 8/25

(iii) when they visits the different days

P(E) = 1 – P (visits the Same day)

= 1 – 1/5 =4/5

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Question:
Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any day as on another day. What is the probability that both will visit the shop on (i) the same day? (ii) consecutive days? (iii) different days?

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