The probability of drawing two aces randomly from a pack of 52 cards is:

A and B are mutually exclusive events. The probability of occurrence of A is $\frac{3}{5}$ and the probability of occurrence of B as $\frac{1}{3}$. What is the probability of both A and B occurring at the same time?

What is the probability of getting a sum 6 from two throws of a dice ?

In a deck of lotteries, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting prize?

Consider the experiment of rolling a die. Let A be the event 'getting a prime number', B be the event 'getting an odd number'. However C be the event containing only highest number of die. If P is the probability of the events.

(A) Here, $S = \{1,2,3,4,5,6\}, A = \{2,3,5\}, B = \{1,3,5\}, C = \{6\}$

(B) $A \cup B = \{1,2,3,5\}$ & $A \cap B = \{3,5\}$

(C) $P(A) \geq 0, P(B) \geq 0, P(C) \geq 0$

(D) $P(A \cup B) = P(A) + P(B) - P(A \cap B)$

Arrange the above events in chronological order and choose the correct answer from the options given below:

Two unbiased coins are tossed:

Match the List-I and List-II

Choose the correct answer from the options given below:

Two friends, P and Q, appeared in an interview for two vacancies for the same post. The probability of P's selection is $\frac{1}{3}$ and that of Q's selection is $\frac{2}{7}$. What is the probability that at least one of them will be selected?