 Hello and welcome to the session I am Deepika here let's discuss the question which says customers Shyam and Aitha 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 one the same day two consecutive different days? We know that the probability and event n as p e is defined as is equal to number of outcomes favorable to e, number of possible outcomes of the experiment. So this is the key idea behind the question. We will take the help of this key idea to solve the above question. So let's start the solution. Let us consider the random experiment of visiting a particular shop in the same week from Tuesday to Saturday by two customers Shyam and Aitha. So the possible outcomes are now Shyam can visit that particular shop on Tuesday and Aitha can visit that shop from Tuesday to Saturday. So let us denote this by an ordered pair where the first letter shows a day on which Shyam will visit that particular shop and the second letter shows a day on which Aitha will visit that particular shop. So the ordered pairs are Tuesday, Tuesday Wednesday, Tuesday Thursday, Tuesday Friday, Tuesday Saturday, and that Shyam will visit that particular shop on Wednesday and Aitha will visit that shop on different days. So the ordered pairs are Wednesday Tuesday, Wednesday Wednesday Thursday, Wednesday Friday and Wednesday Saturday consider that Shyam will visit that particular shop on Thursday and Aitha will visit that particular shop from Tuesday to Saturday. So the ordered pairs are Thursday Tuesday, Thursday Wednesday, Thursday Thursday that is they both will visit that particular shop on the same day Thursday Friday Saturday consider Shyam will visit that shop on Friday and Aitha will visit that particular shop from Tuesday to Saturday. So the ordered pairs are Friday Tuesday, Friday Wednesday, Friday Thursday, Tuesday Friday, Friday Saturday. Now consider the case when Shyam will visit that shop on Saturday and Aitha will visit that shop from Tuesday to Saturday. So the ordered pairs are Saturday Tuesday, Saturday Wednesday, Saturday Friday and Saturday therefore it is possible to find the probability that both will visit the shop on the same day throughout the event both will visit the shop as favorable to Tuesday Wednesday Wednesday Thursday Thursday A Friday is equal to 5 hence the probability that event A is equal to number of outcomes favorable to event A possible outcomes. So this is equal to 5 upon self or part one that is the probability that both will visit the shop on the same day is 1 upon 5 probability that both will visit the shop on consecutive days. So let B denote the event that both will visit the shop consecutive days the outcome C Tuesday Wednesday Thursday C Wednesday Saturday this implies the number of outcomes favorable event B the event B equal to 8 upon 25 25 that is the probability that both will visit the shop on consecutive days is 8 upon 25 the probability that both will visit the shop on different days to the event the shop event possible outcomes to the event when both will event is equal to 25 minus 5 which is equal to 20 therefore the probability of the event E is equal to 20 upon 25 and this is equal to 4 upon 5 that is the probability that both will visit the shop on different days is 4 upon 5 so I hope the solution is clear to you