A person goes to office either by car, scooter, bus or train probability of which being`1/7, 3/7, 2/7 and 1/7` respectively. Probability that he reaches office late, if he takes car, scooter, bus or train is `2/9, 1/9, 4/9 and 1/9` respectively. Given that he reached office in time, then what is the probability that he travelled by a car?

A person goes to office by car or scooter or bus or train, probability of which are 1/7, 3/7, 2/7 and 1/7 respectively. Probability that he reaches office late, if he takes car, scooter bus or train is 2/9, 1/9, 4/9 and 1/9 respectively. Given that he reached office in time, the probability that he travelled by a car is

A doctor is to visit a patient. From past experience, it is known that the probabilities that he will come by train, bus, scooter or by car are (3)/(10), (1)/(5), (1)/(10), (2)/(5) respectively. The probabilities that he will be late are (1)/(4), (1)/(3), (1)/(12) , if he comes by train, bus and scooter respectively, but if he comes by car he will not be late. When he arrives, he is late. What is the probability that he comes by train?

The probability that a contractor will get a plumbing contract is (2)/(3) and the probability that he will not get an electric contract is (5)/(9) ,if the probability getting of at least one contract is (4)/(5) then what is the probability that he will get both the contract?

An insurance company insured 2000 scooter drivers. 4000 car drivers and 6000 truck drivers. The probabilities of an accident ionvolving a scooter, a car and a truck are (1)/(100), (3)/(100) and (3)/(20) respectively. One of the insured persons meets an accident. What is the probability that he is scooter driver ?

Two buses A and B are scheduled to arrive at a town central bus station at noon. The probability A will be late is 1/5 . The probability that bus B will be late is 7/25 . The probability that the bus B is late given that bus A is late is 9/10 . Then the probabilities: (a) probability that neither bus will be late on a particular date is 7/10 (b) probability that bus A is late given that bus B is late is 9/14

An insurance company insured 2000 scooter drivers, 4000 car drivers and 6000 truck drivers. The probability of an accidents are 0.01, 0.03 and 0.15 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver?

A person measure the presssures of his car tyre to be 2 times 10^5 Pa At that time the temperature and pressure of the atmosphere are 27^@C and 1 times 10^5 Pa respectively. Then he travels to another city where the temperature and pressure of the atmosphere are 12^@C and 6.7 times 10^4 Pa respectively. Them what will be the pressure of his car tyre at that time. Assume the volume of the tyre is same in both cases.

In answering a question on a multiple choice test, a student either knows the answer or guesses. Let (3)/(4) be the probability that he knows the answer and (1)/(4) be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability (1)/(4) . What is the probability that the student knows the answer given that he answered it correctly?

A drawer contains 5 brown socks and 4 blue socks well mixed a man reaches the drawer and pulls out socks at random. What is the probability that they match? a. 4//9 b. 5//8 c. 5//9 d. 7//12