An integer number is chosen at random from the first 100 integers. What is the probability that the chosen number is a perfect cube?

Two dices are thrown together. The probability of the sum of the numbers being 8 is:

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 dice are thrown together. What is the probability that the sum of the numbers on the two faces is divisible by 4 or 6?

If $P(E) = 0.05$, what is the probability of 'not E'?

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

A box contains 3 blue, 2 white, and 5 red balls. If a ball is drawn at random from the box, what is the probability that it will be red?