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?

If P(E) = 0.10 , what is the probability of not E ?

The probability that a car being filled with petrol will also need an oil change is 0.30, the probability that both the oil and filter need changing is 0.15. (i) If the oil had to be changed, what is the probability that a new oil filter is needed ? (ii) If a new oil filter is needed, what is the probability that the oil has to be changed ?

The probability that a car being filled with petrol will also need an oil change is 0.30, the probability that it needs a new oil filter is 0.40, and the probability that both the oil and filter need changing is 0.15. (i)If the oil had to be changed, what is the probability that a new oil filter is needed? (ii)If a new oil filter is needed, what is the probability that the oil has to be changed?

The probability that a student will get a pass mark in mathematics is 0.17 and that of getting pass mark in English is 0.25. The probability that he will get pass in both subjects is 0.12.What is the probability that he will get pass mark only one of the two subjects:

The probability that a new car will get an award for its design is 0.25 , the probability that it will get an award for efficient use of fuel is 0.35 and the probability that it will get both the award is 0.15. Find the probability that (i) it will get atleast one of the two awards (ii) it will get only one of the awards

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.

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?