Probability Tes...

A die is thrown $$5$$ times. If getting an odd number is a success, then what is the probability of getting atleast $$4$$ successes?

A coin is tossed $$5$$ times. What is the probability that head appears an even number of times?

Consider $$f(x)=x^3+ax^2+bx+c$$ Parameters a,b,c are chosen, respectively, by throwing a die three times.Then the probability that f(x) is an increasing function is 

On a Saturday night, 20% of all drivers in U.S.A are under the influence of alcohol. The probability that a driver under the influence of alcohol will have an accident is 0.001. The probability that a sober driver will have an accident is 0.0001.If a car on a Saturday night smashed into a tree, the probability that the driver was under the influence of alcohol is  

The numbers (a,b,c) are selected by throwing a dice thrice, then the probability that (a,b,c) are in A.P is

A natural number is selected from $$1$$ to $$1000$$ at random, then the probability that a particular non-zero digit appears at most once is

The probability of the safe arrival of one ship out of $$5$$ is $$\cfrac{1}{5}$$. What is the probability of the safe arrival of at least $$3$$ ships?

$$10\%$$ bulbs manufactured by a company are defective. The probability that out of a sample of $$5$$ bulbs, none is defective, is

There are four machines and it is known that exactly two of them are fauly.They are tested, one by one, in a random order till both the faulty machines are identified.Then the probability that only two tests are needed is 

A fair die is tossed repeatedly until a 6 is obtained.Let X denote the number  of tosses required.