For the following probability distribution :

X	1	2	3	4
P(X)	1/10	1/5	3/10	2/5

$E(X^2)$ is equal to :

If $A$ and $B$ are two events such that $P(\overline{A} \cup \overline{B}) = \dfrac{2}{3}$ and $P(A \cup B) = \dfrac{5}{9}$, then which of the following are TRUE?

A. $P(A \cap B) = \dfrac{1}{3}$

B. $P(A \cup B) + P(A \cap B) = \dfrac{7}{9}$

C. $P(A) + P(B) = \dfrac{2}{9}$

D. $P(\overline{A}) + P(\overline{B}) = \dfrac{10}{9}$

Choose the correct answer from the options given below:

The black and red die are rolled. The conditional probability of obtaining a sum greater than 9 given that the black die resulted in a 5 is :

If A and B are independent events and $P(A) = \frac{1}{2}$ $P(B) = \frac{1}{3}$, then

Match List-I with List-II

Choose the correct answer from the options given below:

If a fair coin is tossed 10 times, then the probability of obtaining at least one head is :

The probability that B alone complete the task on time is:

The probability of simultaneous occurrence of at least one of two events E and F is $p$. If the probability that exactly one of E, F occurs is $q$, then $P(\overline{E}) + P(\overline{F})$ is equal to