An ordinary cube has 4 blank faces, one face mark 2 and another marked 3, then what is the probability of obtaining 12 in 5 throws?

What is the probability of obtaining a multiple of 3 in the throw of a fair die?

4 cards are drawn from a well - shuffled deck of 52 cards. What is the probability of obtaining 3 dimonds and one spead?

A fair coin with 1 marked on one face and 6 on the other and a fair die are both tossed. Find the probability that the sum of numbers that turn up is i. 9 ii) 12.

Four different objects 1,2,3,4 are distributed at random on four places marked 1,2,3,4. what is the probability that no-object occupies the places corresponding to its numbers?

The odds in favour of an event are 4:3 . The odds against another independent event are 2:3 . What is the probability that at least one of the events will occur ?

A die is thrown three times. Events A and B are defined as below: A : 4 on the third throw B : 6 on the first and 5 on the second throw Find the probability of A given that B has already occurred.

Five cards – the ten, jack, queen, king and ace of diamonds, are well shuffled with their face downwards. One card is then picked up at random. What is the probability that the card is the queen?

An urn A contains 3 white and 5 red marbles. Another urn B contains 5 white and 3 red marbles. Two marbles are transferred from A to B and then one is drawn from B. What is the probability that it is red ?

There are two bags, one of which contains 3 black and 4 white balls, while the other contains 4 black and 3 white balls. A fair die is cast, if the face 1 or 3 turns up, a ball is taken from the first bag, and if any other face turns up a ball is chosen from the second bag. Find the probability of choosing a black ball.