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?

Solution:

To solve this question, first, find out the total number of outcomes and all the possible outcomes. Now, to find the probability use the formula given below:

Probability = Number of possible outcomes / Total number of outcomes

Total outcomes = 5 × 5 = 25

(i) Number of possible outcomes that both will visit the shop on the same day = (T, T), (W, W), (Th, Th), (F, F), (S, S) = 5

The probability that both will visit the shop on the same day = Number of possible outcomes / Total number of outcomes

= 5/25

= 1/5

(ii) Number of possible outcomes that both will visit the shop on consecutive days = (T, W), (W, Th), (Th, F), (F, S) or (W, T), (Th, W), (F, Th), (S, F) = 8

The probability that both will visit the shop on consecutive days = Number of possible outcomes / Total number of outcomes

= 8/25

(iii) The probability that both will visit the shop on the same day = 1/5 [found in (i)]

The probability that both will visit the shop on different days = 1 - 5/25

= 20/25

= 4/5

Check out more about the terms of probability.

☛ Check: NCERT Solutions for Class 10 Maths Chapter 15

Video Solution:

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?

NCERT Solutions for Class 10 Maths Chapter 15 Exercise 15.2 Question 1

Summary:

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. The probability that both will visit the shop on (i) the same day is 1/5, (ii) consecutive days is 8/25, and (iii) different days is 4/5.

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