Question #57372

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
1

Expert's answer

2016-01-19T08:18:49-0500

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 3/6=1/2=0.53/6=1/2=0.5.

2) The probability that Tanuja will visit Bhubneshvar just before Kolkata (corresponds to 3, 6 cases) is equal to 2/6=1/3=0.332/6=1/3=0.33.

Answer: 1) 1/2; 2) 1/3.

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