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?

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

A bag contains 4 red, 5 blue and 3 green balls. If two balls are drawn at random from the bag, then which of the following statements are correct?

(A) The probability that both balls are red is $\frac{1}{11}$.

(B) The probability that one ball is red, and one ball is blue is $\frac{10}{33}$.

(C) The probability that both balls are blue is $\frac{5}{33}$.

(D) The probability that both balls are green is $\frac{5}{11}$.

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:

In a lottery with 10 prizes and 25 blanks, what is the probability of drawing a prize?

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

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?