Probability Tes...

An arrangement is selected at random from all possible arrangements of five digits written from the digits $$0,1,2,3,\cdots 9$$ with repetition. The probability that the randomly selected arrangement will have largest number $$'8'$$ given that the smallest number is $$'4'$$ is :

A four-digit number is formed by using the digits 1, 2, 4, 8 and 9 without repitition. If one number is selected from those numbers, then what is the probability that it will be an odd number ?

A bouquet from $$11$$ different flowers is to be made so that it contains not less then three flowers . Then the number of the different ways of selecting flowers to from the bouquet 

$$10$$ persons are seated around a round table. What is the probability that $$4$$ particular persons are always seated together?

A bag contain $$4$$ white and $$2$$ black balls. Two balls are drawn at random. The probability that they are of the same colour is ________.

A box contains $$10$$ items, $$3$$ of which are defective. If $$4$$ are selected at random without replacement, what is the probability that at least $$2$$ of the $$4$$ are defective?

If a fair die is rolled $$4$$ times, then what is the probability that there are at least $$2$$ sixes ?

If $$5$$ of a company's $$10$$ delivery trucks do not meet emission standard and $$3$$ of them are chosen for inspection, then what is the probability that none of the trucks chosen will meet emission standards ? 

A is targeting to B, B and C are targeting to A.The probability of hitting the target by A, B and Care $$\displaystyle \frac{2}{3}, \displaystyle \frac{1}{2}, \displaystyle \frac{1}{3}$$ respectively. Show that the probability that B hits the target and C does not is $$\displaystyle \frac{1}{2}$$.

Two symmetrical dice are thrown $$200$$ times. Getting a sum of $$9$$ points is considered to be a success. The probability distribution of successes is