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

Find the probability of getting an even number when one die is tossed.

Two students Anil and Sunil appear in an examination. The probability that Anil will qualify in the examination is 0.05 and that Sunil Will qualify is 0.10. The probability that both will qualify in the examination is 0.02 find the probability that Anil and Sunil Will not qualify in the examination.

The probability that atleast one of the events A and B occur is 0.6. If A and B occur simultaneously with the probability 0.2 then

If one out of 10 coming ships is wrecked. Find the probability that out of five coming ships at least 4 reach safely.

Two students Anil and Ashima appeared in an examination . The probability that Anil will quanlify the examination is 0.05 and that Ashima will qualify the examination is 0.10 . The probability hat both will qualify the examination is 0.02 . Find the Probabiity that both Anil and Ashima will not qualify the examination ?

If the probability that A and B will die within a year are p and q reapectively , then the probability that only one of them will be alive at the end of the year is :

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 that a bulb produced by a factory will fuse after 150 days of use is 0.05. Find the probability that out of 5 such bulbs (i) None (ii) Not more than one (iii) more than one (iv) at least one will fuse after 150 days of use?

Two groups are competing for the position on the board of directors of a corporation. The probability that the first and the second groups will win are 0 . 6 and 0 . 4 , respectively. Further, if the first group wins the probability of introducing anew product is 0 . 7 and the corresponding probability is 0 . 3 if the second group wins. Find the probability the the new product introduce was by the second group .

The probability that an event A happens in one trial of an experiment is 0.40 . Three independent trials of the experiment are performed . The probability that the event A happens at least once is :