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# 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 the same day?

Given:

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.

To do:

We have to find the probability that both will visit the shop on the same day.

Solution:

Number of days from Monday to Saturday $=6$

This implies,

The total number of possible outcomes $n=6\times6=36$.

Number of outcomes where both visit the shop on the same day $=6$

Total number of favourable outcomes $=6$.

We know that,

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

Probability that both will visit the shop on the same day $=\frac{6}{36}$

$=\frac{1}{6}$

**The probability that both will visit the shop on the same day is $\frac{1}{6}$. **