The probability that certain electronic component fail, when first used is 0.10. If it does not fail immediately, then the probability that it lasts for one year is 0.99. What is the probability that a new component will last for one year?

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?

A picnic is arranged to be held on a particular day. The weather forecast says that there is 80% chance of rain on that day. If it rains, the probability of a good picnic is 0.3 and if it does not, the probability is 0.9. What is the probability that the picnic will be good ?

A picnic is arranged to be held on a particular day. The weather forecast says that there is 80% chance of rain on that day. If it rains, the probability of a good picnic is 0.3, and if it does not, the probability is 0.9. What is the probability that the picnic will be good ?

The probability that at least one of the events Aa n dB occurs is 0.6. If Aa n dB occur simultaneously with probability 0.2, then find P( barA )+P( bar B )dot

Two groups of students are arranging an picnic near a lake.The probability of the 1st group of getting the picnic spot is 0.6 and that of the second group is 0.4. If the 1st group get the spot, the probability of doing boating is 0.8 and that of 2nd group is 0.3 what is the probability of boating? Given that boating is done, find the probability that the 2nd group does the picnic.

Two sets of candidates are competing for the position on the board of directors of a company. The probabilities that the first and second sets will win are 0.6 and 0.4 respectively. If the first set wins, the probability of introducing a new product is 0.8 and the corresponding probability if the second set wins is 0.3. What is the probability that the new product will be introduced ?

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 an automobile will be stolen and found within one week is 0.0006. Then probability that an automobile will be stolen is 0.0015. the probability that a stolen automobile will be found in the week is 0. 3 b. 0. 4 c. 0. 5 d. 0. 6

The probability that an automobile will be stolen and found within one week is 0.0006. Then probability that an automobile will be stolen is 0.0015. the probability that a stolen automobile will be found in the week is 0. 3 b. 0. 4 c. 0. 5 d. 0. 6

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.