Statistics and ...

Let A and B be any two arbitrary events, then, which one of the following is true?

A bag contains 10 white balls and 15 black balls. Two balls are drawn in succession. The probability that one of them is black and the other is white is

Two dice are thrown simultaneously. The probability that at least one of them will have 6 facing up is  

The probability that top and bottom cards of a randomly shuffled deck are both aces is-

E₁ and E₂ are events in a probability space satisfying the following constraints:

The value of Pr(E₁ ), the probability of the event E₁ , is

A program consists of two modules executed sequentially. Let f₁ (t) and f₂ (t) respectively denote the probability density functions of time taken to execute the two modules. The probability density function of the overall time taken to execute the program is given by

 A sample space has two events A and B such that probabilities

What is P(A ∪B)?

If the difference between the expectation of the square of a random variable (E[x² ] and the square of the expectation of the random variable (E[x])² is denoted by R, then

Consider a random variable Xthat takes values +1 and -1 with probability 0.5 each. The values of the cumulative distribution function F(x) at x = -1 and +1 are

If P and Q are two random events, then the following is TRUE