A bag contains 5 black, 3 white and 2 red balls. Three balls are drawn in succession. What is the probability that the first ball is red, the second ball is black and the third ball is white?

Two candidates, X and Y appeared in an interview for two vacancies for the same post. The probabilities of their selection are 1/4 and 1/7, respectively. What is the probability that one of them will be selected?

The probability of getting a composite number when a six faced unbiased die is thrown?

Suppose we throw a dice once. Then, which one of the following is/are correct?

(A) The probability of getting a number greater than 4 is $\frac{1}{3}$

(B) The probability of getting a number greater than or equal to 4 is $\frac{1}{3}$

(C) The probability of getting a number less than or equal to 3 is $\frac{1}{2}$

(D) The probability of getting a number less than or equal to 6 is 1.

Choose the correct answer from the options given below:

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:

A bag contains 4 white and 2 black balls. Another bag contains 3 white and 5 black balls. If one ball is drawn from each bag, find the probability that both balls are white.

In a pack of lotteries, there are 5 prizes and 20 blanks. A lottery is drawn at random. The probability of getting prize is: