The problem states that two customers, Shyam and Ekta, are visiting a particular shop during the same week, from Tuesday to Saturday. Each customer is equally likely to visit the shop on any given day. We need to find the probabilities of different scenarios:

(i) Both customers visit the shop on the same day.
(ii) Both customers visit the shop on different days.
(iii) Both customers visit the shop on consecutive days.

To solve this problem, we can analyze each scenario separately.

## Same day visit
To find the probability that both customers visit the shop on the same day, we need to consider the number of favorable outcomes and the total number of possible outcomes.

The total number of possible outcomes is 5 (Tuesday, Wednesday, Thursday, Friday, Saturday).

The favorable outcomes occur when both customers choose the same day. Since each customer is equally likely to visit the shop on any given day, the probability for both customers choosing the same day is 1/5.

Therefore, the probability that both customers visit the shop on the same day is 1/5 or 0.2.

## Different day visit
To find the probability that both customers visit the shop on different days, we again consider the number of favorable outcomes and the total number of possible outcomes.

The total number of possible outcomes is still 5 (Tuesday, Wednesday, Thursday, Friday, Saturday).

In this scenario, the favorable outcomes occur when both customers choose different days. The first customer can choose any day out of the 5, and the second customer can choose any remaining day out of the remaining 4. Therefore, the number of favorable outcomes is 5 * 4 = 20.

The total number of possible outcomes remains 5.

Therefore, the probability that both customers visit the shop on different days is 20/5 or 4.

## Consecutive day visit
To find the probability that both customers visit the shop on consecutive days, we need to consider the number of favorable outcomes and the total number of possible outcomes.

The total number of possible outcomes is still 5 (Tuesday, Wednesday, Thursday, Friday, Saturday).

In this scenario, the favorable outcomes occur when both customers choose two consecutive days. We can count the number of favorable outcomes as follows:

- Shyam can choose any day from Tuesday to Friday (4 options).
- Ekta can choose the very next day (1 option).

Therefore, the number of favorable outcomes is 4.

The total number of possible outcomes remains 5.

Therefore, the probability that both customers visit the shop on consecutive days is 4/5 or 0.8.

In summary, the probabilities are:
(i) Same day visit: 1/5 or 0.2
(ii) Different day visit: 4/5 or 0.8
(iii) Consecutive day visit: 4/5 or 0.8