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Two friends are visiting a particular shop in the same week (Monday to Friday). 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 different days?

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12

25

15

45

answer is D.

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Detailed Solution

According to the question, two friends visit a shop five days in a week.
So, total outcomes will be

5 × 5 = 25

.
Since,

P

(Visiting on different day)

= 1 − P

(visiting on same day).
Then, the probability that both will visit the shop on the same day,
=

\frac{Number of favorable outcomes}{Total number of outcomes}

= 525

= 15

And the probability that both will visit the shop on a different day,

= 1 − 525

= 45

The probability that both will visit the shop on a different day

= 45

.
Therefore, option 4 is correct.

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