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  • The probability that a card drawn from a pack of 52 cards will be a diamond or a king is :

  •  A bag contains 20 tickets numbered from 1 to 20. Two tickets are drawn at random. What is the probability that both numbers are prime ?

  • What is the probability of getting a sum 9 from two throws of a dice?

  • A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

  • From a pack of 52 cards, two cards are drawn at random. What is the probability that both cards being king?

  • A box contains 5 green, 4 yellow and 3 white marbles. Three marbles are drawn at random. What is the probability that they are not of the same colour ?

  • Out of 6 green ball, 4 blue ball, in how many ways we select one or more balls ?

  • A five digit number is formed with the digits 0,1,2,3 and 4 without repetition. Find the chance that the number is divisible by 5.

  • 16 persons are participated in a party. In how many different ways can they host the seat in a circular table, if the 2 particular persons are to be seated on either side of the host?

  • In how many different ways can the letters of the word 'THERAPY' be arranged so that the vowels never come together?
  • A committee of 3 members is to be selected out of 3 men and 2 women.what is the probability that the committee has at least one women?

  • Find the probability that a number from 1 to 300 is divisible by 3 or 7 ?

  • In how many different ways can the letters of the word DAILY be arranged?

  • In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?

  • A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

  • In how many different ways can the letters of the word 'ARISE‘ be arranged ?

  • Two dice are tossed. The probability that the total score is a prime number is: 

  • In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions? 

  • In a class, 4 girls and 5 boys are there. Find the probability of selecting 2 boys and 3 girls for a game:

  • Three unbiased coins are tossed. What is the probability of getting at most two heads?

  • Ajay have ten shirts and twenty five t-shirts in a bag. An apparel is drawn at random. What is the probability of getting a shirt?

  • There are 8 Orange, 6 White and 7 Black pens in a Parul Bag. Parul picked up randomly a pen. What is the probability that it is neither orange nor white?

  • Two dice are thrown simultaneously. Find the probability of getting a multiple of 2 on one dice and multiple of 3 on the other dice.

  • P and Q sit in a ring arrangement with 10 persons. What is the probability that P and Q will sit together?

  • Three coins are tossed. What is the probability of getting at most two tails?

  • A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

  • A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are blue, is:

  • In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected is:

  • Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

  • A bag contains 12 white and 18 black balls. Two balls are drawn in succession without replacement. What is the probability that first is white and second is black?

  • In a bag, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

  • In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

  • How many 4-letter words with can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

  • In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

  • A letter is randomly select from the word "STUDIOUS". What is the probability that the letter be a U?

  • A bag contains 3 red marbles, 3 blue marbles, and 3 green marbles. If a marble is randomly drawn from the bag and a fair, six-sided dice is tossed, what is the probability of obtaining a red marble and getting 6 from dice?

  • At a certain business school, 400 students are members of the sailing club, the wine club, or both. If 200 students are members of the wine club and 50 students are members of both clubs, what is the probability that a student chosen at random is a member of the sailing club?

  • There are five students in a study group: two finance majors and three accounting majors. If two students are chosen at random, what is the probability that they are both accounting students?
     
  • A bag has six red marbles and six blue marbles. If two marbles are drawn randomly from the bag, what is the probability that they will both be red?

  • There are 8 Orange, 6 White and 7 Black pens in a Parul Bag. Parul picked up randomly a pen. What is the probability that it is neither orange nor white?

  • In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

  • In how many ways can a committee consisting of 5 men and 6 women be formed from 8 men and 12 women?

  • In how many different ways can the letters of the word INDIGO be arranged?

  • There are 3 red balls, 4 blue balls and 5 white balls. 2 balls are chosen randomly. Find probability that 1 is red and the other is white

  • 6 boys and 6 girls sit in a row at random.The probability that all the girls sit together is?

  • In how many ways can the letters of the word IMAGINARY be arranged in such a way that all the vowels never come together?

  • In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

  • A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

  • Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

  • One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?

  • In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

  • A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a king of heart is:

  • From a pack of 52 cards, two are drawn one by one without replacement. Find the probabilities that both of them are kings.

  • In how many ways can 21 books on English and 19 books on Hindu be placed in a row on a shelf so that two books on Hindi may not be together?

  • In how many different ways can the letters of the word ‘SOFTWARE’ be arranged in such a way that the vowels always come together?

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