A man is known to speak the truth 3 out of 4 times. He throw a die and reports that it is five then the probability that it is actually five is

If A and B are independent events such that $P(A)=\dfrac{1}{2}$, $P(A\cup B)=\dfrac{3}{5}$ and $P(B)=p$, then value of p is:

A coin is tossed twice and outcomes are recorded. If the random variable X represents the number of heads in the experiment, then the expectation of X will be:

Two events A and B will be independent, then

If the probability that an individual suffers a bad reaction from an injection of a given serum is 0.001. The probability that out of 2000 individuals, more than two individuals suffer from bad reaction is:

[Given that $e^{-2} \approx 0.13534$]

The probability distribution table of a random variable X is given below.

If $E(X) = \dfrac{3}{2}$, then the values of a and b are:

One person speaks truth in 60% of the cases and another person in 80% of the cases. They are likely to agree in stating the same fact in