Five dice are tossed together. What is the probability of getting different faces in all of the dice?

A glass jar contains 6 white, 8 black, 4 red and 3 blue marbles. If a single marble is chosen at random from the jar, what is the probability that it is black or blue?

In a lottery, there are 7 prizes and 21 blanks. If a lottery is drawn at random, then what is the probability of getting a prize?

A bag contains 30 balls, numbered 1 to 30. Two balls are drawn at random. What is the probability that the balls drawn contain a number which is multiple of 4 or 6 but not a multiple of both?

9 persons are seated around a round table. What is the probability that two particular persons sit together?

There are 3 green, 4 orange and 5 white color bulbs in a bag. If a bulb is picked at random, what is the probability of having either a green or a white bulb?

What is the probability of forming word from the letters of word “IMPEACH” such that all vowels come together?

Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ?