For a student to qualify, he must pass at least two our three exams. The probability that he will pass the first exam is p. If he fails in one of the exams then the probability of his passing in the next is p/2, otherwise it remains the same. Find the probability that he will qualify.

For a student to qualify, he must pass at least two out of three exams. The probability that he will pass the 1st exam is p. If he fails in one of the exams, then the probability of his passing in the next exam, is p/2 otherwise it remains the same.Find the probability that he will qualify.

The probability that a teacher will give a surprise test during any class is 1/5. If a student is absent on two day what is the probability that he will miss atleast one test.

The probability that a man buying a shirt is 0.2 and that for buying a trouser is 0.3. The probability that he will buy a shirt given that he buys a trouser is 0.4. i. Find the probability that he will buy both a shirt and a trouser ii. Find the probability that he will buy a trouser, given that he buys a shirt.

Two students Anil and Ashima appeared is an examination. The probability that Anil will qualify the examination is 0.05 and that Ashima will qualify the examination is 0.10. The probability qualify the examination is 0.02. Find the probability that (a) Bothe Anil and Ashima will not qualify the examination. (b) Atleast one of them will qualify the examination and (c) Only one of them will qualify the examination.

In an entrance test that is graded of the basis of two examination, the probability of a randomly chosen student passing the first examination is 0.8 and the probability of passing the second examination is 0.7. The probability of passing atleast one of them is 0.95. What is the probability of passing both?

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.

A father has 3 children with at least one boy. The probability that he has 2 boys and 1 girl is a. 1//4 b. 1//3 c. 2//3 d. none of these

The probability that Mr. Q hits a target at any trial is 1/4 . Suppose he tries at the target 10 times. Find the probability that he hits the target (i) exactly 4 times (ii) at least one time.