Probability Tes...

There is a probability that 4 out of 10 students appearing in CA CPT exams will qualify for CA course after CA CPT exam. The probability that at least of the five students will join CA course is.......

The range of a random variable X = $${ 1,2,3,4,...}$$ and the probabilities are given by $$ P (X = k) = \frac{C^k}{  k! } $$ ; $$k = 1,2,3,4...,$$ then the value of C is

The probability that Sania wims Wimbledon tournaments final is $$\dfrac{1}{3}$$. If Sania Mirza plays $$3$$ round of Wimbledon final, the probability that she wins at least one round of match is:

The probability of an even happens in one trial of an experiment is $$0.3$$. Three independent trials of the experiments are performed. Find the probability that the event A happens at least once.

If the range of random variable X is {0, 1, 2, 3, 4...} with p(X = k) = $$\frac{(k + 1)a}{3^k}$$ for $$k>=$$0, then a = 

There is a three-volume dictionary among 43 books arranged on a shelf in random order. Three books are drawn at random from the shelf. The probability that all the three volumes of the dictionary will be drawn, is

A pair of dice is rolled together till a sum of either $$5$$ or $$7$$ is obtained. Find the probability that $$5$$ comes before $$7$$.

In throwing a pair of dice, the events 'coming up of 6 on Ist dice' and 'a total of 7 on both the dice' are 

Two probability distributions of the discrete random variable $$X$$ and $$Y$$ are given below.

Let $$A$$ and $$B$$ be two finite sets having $$m$$ and $$n$$ elements respectively such that $$m \le n$$. A mapping is selected at random from the set of all mappings from $$A$$ to $$B$$. The probability that the mapping selected is an injection, is