Question

two customers Shyam and Ekta visiting a particular shop in the same week (Tuesday to Saturday).it 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 1)the same day 2)consecutive days 3) different days

Answer 1

According to. me it is more likely that they will visit the shop (3) on a different day.
(2)There is a less chance of a consequentive day
(3)It is not possible that they will visit the same day.
I hope. It helps

Answer 2

Solution :-

The total number of days from Tuesday to Saturday = 5

Hence, both of them can reach the shop in 5 ways.

So, total number of outcomes = 5 × 5 = 25 ways

They can reach on the same day in 5 ways, i.e.

(Tuesday, Tuesday) ; (Wednesday, Wednesday) ; (Thursday, Thursday) ; (Friday, Friday) ; (Saturday, Saturday) 

1) Probability of reaching the same day -

= 5/25 

= 1/5 
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They can reach on consecutive days in following 8 ways :

(Tuesday, Wednesday) ; (Wednesday, Tuesday) ; (Wednesday, Thursday) ; (Thursday, Wednesday) ; (Thursday, Friday) ; (Friday, Thursday) ; (Friday, Saturday) ; (Saturday, Friday)

2) Probability of reaching on consecutive days -

= 8/25

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3) Probability of reaching on different days -

As, Probability of reaching on same days = 1/5

Hence, probability of reaching on different days = 1 - 1/5 

= 4/5

Answer.