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
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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
E_{1} and E_{2} are events in a probability space satisfying the following constraints:
The value of Pr(E_{1}), the probability of the event E_{1}, is
A program consists of two modules executed sequentially. Let f_{1}(t) and f_{2}(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[x^{2}] 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
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65 videos121 docs94 tests
