Practice Probability Questions and Answers

• What is the probability that four A’s come consecutively in the word ‘AMALGAMATION’
• Two schools, A and B participate in a Quiz competition. The probability of A’s winning is 3/7 and the probability of B’s winning is 3/5. What i...
• A letter is taken out at random from ‘CHACHAKE’ and another is taken out from ‘PATAKHE’. The probability that they are the same letter is  ...
• One bag contains 5 yellow hats and 4pink hats. Another bag contains 3 yellow hats and 7pink hats. If one hat is drawn from each bag, what is the probabilit...
• What is the probability that a number selected from 1,2,3.......................68,69,70, is perfect square or a perfect cube?
• A basket contains 3 pink, 4 blue and 5 yellow wools. If three wools are picked at random, what is the probability that either all are blue or either all ar...
• If the letters of the word PARAM are arranged at random, what is the probability that all vowels will come together?
• If a coin is tossed repeatedly and the head appears for the first 94 times then what is the probability that the tail appears on the 95th toss?
• A box contains 7 blue and 7 green balls. The probability of drawing three balls of the same colour is
• If a coin is tossed 10 times then what is the probability of getting three heads?
• Tokens numbered 1 to 350 are in a bag. What is the probability that the Token drawn has a number which is a multiple of 6 or 7?
• A basket contains 3 yellow, 5 purple and 3 red flowers. If 3 flowers are drawn at random, what is the probability that at least two are of same colour?
• A box contains 5 red, 6 green and 3 yellow balls. 2 balls are drawn at random. What is the probability that they are not of the same colour?
• If the letter of the word Apples is arranged at random, what is the probability that all the vowels comes together?  
• There are 5 Red caps, 3 Green caps and 2 Blue caps in a box. 4 caps are chosen at random. What is the probability of their being 2 Red and 2 Blue caps?
• Two hats are picked at random, what is the probability that one is blue and one is yellow?
• Two hats are picked at random, what is the probability that all hats are of green colour?
• One five letter word is to be formed taking all letters – U, Z, M, O and Q. What is the probability that this formed word will contain all vowels togeth...
• 5 coins are tossed together. What is the probability of getting exactly 3 tails?
• In a lottery there are 5 prizes and 50 blanks. A lottery is drawn at random. What is the probability of getting the prize? ...
• Two cards are drawn from a pack of 52 cards. The probability that 1 is Ace and 1 is Queen is?
• In a box there are 12 orange, 5 white, and 7 blue balls. One ball is picked up randomly. What is the probability that it is neither white nor blue?...
• A bag contains 7 red gems, 8 yellow gems  and 5 green gems . 3 gems  are drawn randomly. What is the probability that the gem...
• A bag contains 5 red bottles, 6 yellow bottles  and 8 green bottles . 3 bottles  are drawn randomly. What is the probability that ...
• A bag contains 10 red books, 7 yellow books  and 7 green books . 3 books  are drawn randomly. What is the probability that the&nbs...
• A bag contains 5 red books, 7 yellow books  and 7 green books . 3 books  are drawn randomly. What is the probability that the ...
• What will be the probability of choosing one red and one green ball from a basket containing 4 red and 5 green balls if two balls are drawn randomly?
• A bag contains 6 balls of which 3 are red and 3 are black. They are drawn successively without replacement. What is the probability that colors are alterna...
• There are 4 red balls, 5 blue balls and 3 green balls in a jar. 2 balls are drawn at random. Find the probability that both balls are either green or red.
• 22 defective pens are accidentally mixed with 136 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is t...
• 24 defective pens are accidentally mixed with 120 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is t...
• The probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18. What is the number of rotten apples in the heap? ...
• The probability of selecting a rotten apple randomly from a heap of 600 apples is 0.14. What is the number of rotten apples in the heap?
• The probability of selecting a rotten apple randomly from a heap of 250 apples is 0.20. What is the number of rotten apples in the heap? ...
• The probability of selecting a rotten apple randomly from a heap of 1050 apples is 0.36. What is the number of rotten apples in the heap?
• The probability of selecting a rotten apple randomly from a heap of 150 apples is 0.28. What is the number of rotten apples in the heap?
• The probability of selecting a rotten apple randomly from a heap of 100 apples is 0.20. What is the number of rotten apples in the heap? ...
• A bag contains 15 white and some black balls. If the probability of drawing a black ball from the bag is thrice that of drawing a white ball, find the numb...
• A bag contains 12 white and some black balls. If the probability of drawing a black ball from the bag is thrice that of drawing a white ball, find the numb...
• A bag contains 13 white and some black balls. If the probability of drawing a black ball from the bag is twice that of drawing a white ball, find the numbe...