Probability 4 Question 17
17. A person goes to office either by car, scooter, bus or train probability of which being and , respectively. Probability that he reaches offices late, if he takes car, scooter, bus or train is and , respectively. Given that he reached office in time, then what is the probability that he travelled by a car?
(2005, 2M)
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Answer:
Correct Answer: 17.
Solution:
- As, the statement shows problem is to be related to Baye’s law.
Let
Again,
Then,
and