Answer on Question #57372 – Math – Statistics and Probability
Question
During summer vacations Tanuja wants to visit three cities, Kolkata, Bhubneshvar and Chennai randomly. Find the probability that she will visit ,
1) Bhubneshvar before Chennai
2) Bhubneshvar just before Kolkata
Solution
There are 6 possible different cases:
1. Kolkata, Bhubneshvar, Chennai.
2. Kolkata, Chennai, Bhubneshvar.
3. Bhubneshvar, Kolkata, Chennai.
4. Bhubneshvar, Chennai, Kolkata.
5. Chennai, Kolkata, Bhubneshvar.
6. Chennai, Bhubneshvar, Kolkata.
1) The probability that Tanuja will visit Bhubneshvar before Chennai (corresponds to 1, 3 and 4 cases) is equal to .
2) The probability that Tanuja will visit Bhubneshvar just before Kolkata (corresponds to 3, 6 cases) is equal to .
Answer: 1) 1/2; 2) 1/3.
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