An author writes a good book with a probability of `1/2`. If it is good it is published with a probability of `2/3`. If it is not . It is published of `1/4`. Find the probability that he will get atlest one book published if he writes two.

The probability of a boy getting admission is IIT is 0.16 and probability of getting admission in medical is 0.24. Find the probability that he will get admission in both 0.11 . Find the probability that he will get only one of the two seats.

The probability that Hemant passes in English is (2/3) and the probability that he passes in Hindi is (5/9). If the probability of his passing both the subjects is (2/5), find the probability that he will pass in at least one of these subjects.

The probability that Mr Anand will get a job in Govt. service is .52, the probability of getting a job in private service is .43 and in both 0.24. Find the probability that (i)he will get atleast one of these two jobs. (ii)he will get only one of the two jobs.

The probability that a student will pass in Mathematics is 3/5 and the probability that he will pass in English is 1/3. If the probability that he will pass in both Mathematics and English is 1/8, what is the probability that he will pass in at least one subject?

There are two coins, one unbiased with probability 1/2 or getting heads and the other one is biased with probability 3/4 of getting heads. A coin is selected at random and tossed. It shows heads up. Then the probability that the unbiased coin was selected is

In a test a candidate may have answered a question in 3 ways. The question is a multiple choice question with 4 choices one of which is the correct answer. He might have guessed the answer for which the probability is 1/3. He might have copied the answer for which the probability is 1/6. He might have known the answer. If he copied the answer the probability that his answer is correct is 1/8. Find the probability that he knew the answer given that he correctly answerd it.

There are two coins, one unbiased with probability 1/2 of getting heads and the other one is biased with probability 3/4 of gatting heads. A coin is selected at random and tossed.It shows heads up. Then the probability that the unbiased coin was selected is-

Probability that a man will get tea is 2/3 , and that he will not get coffee is 5/9 . If the probability of getting at least one during is 4/5, then probability that he will get both is

The probability that a student passes in a physics test is 2/3 and the probability that he passes both the physics and English test is 14/45 . If the probability that he passes at least one test is 4/5 , find the probability that the student passes exactly one of the two tests