Two persons A and B are visiting a particular shop in the same week Tuesday or Saturday is likely to visit the shop on any day or another day .what is the probability that both visit the shop : (a) same day (b)consecutive day (c) different day
Answers
Answer:
(i) 1/5 (ii) 5/36 (iii)5/6
Step-by-step explanation:
Total number of days = 6
They are : Mon, Tues, Wed, Thurs, Fri, Sat
Total number of possible combinations = 6 x 6 = 36
They are:
(Mon, Mon), (Mon, Tues) (Mon, Wed) .... (Mon, Sat)
(Tues, Mon), (Tues, Tues) (Tues, Wed) .... (Tues, Sat)
....
(Sat, Mon), (Sat, Tues) (Sat, Wed) .... (Sat, Sat)
Question (i)
Total number of days that they will visit on the same day = 6
They are:
(Mon, Mon), (Tues, Tues), (Wed, Wed), (Thurs, Thurs), (Fri, Fri), (Sat, Sat)
P(two customers visit on the same day) = 6/36 = 1/6
Question (ii)
Total number of days that can be consecutive = 5
They are:
(Mon, Tues), (Tues, Wed), (Wed, Thurs), (Thurs, Fri), (Fri, Sat)
P(two customers visit on the same day) = 5/36
Question (iii)
Total number of different days = Total days - Total same day
Total number of different days = 36 - 6 = 30
P(Two customers visit on different day = 30/36 = 5/6
Answer: (i) 1/5 (ii) 5/36 (iii)5/6
Answer:
(i) 1/5 (ii) 5/36 (iii) 5/6
Step-by-step explanation:
As we know, there are six working days in a week. So, possible days combinations are 6×6=36.
So, make pairs accordingly and solve the question.