Practice Probability Questions and Answers

• Sneha has a 4/9 probability of passing the exam, while Neha has a 5/7 probability of failing. What is the probability that both Sneha and Neha either pass ...
• A bag holds 20 balls, each labeled with a unique number that follows a sequence of consecutive multiples of 5, beginning with 5. What is the probability of...
• In how many ways can the letters of the word "EXAMPLE" be arranged, and what is the probability that all the vowels in these arrangements always appear tog...
• In how many ways can the letters of the word "COMPUTER" be arranged, and what is the probability that all the vowels in these arrangements always appear to...
• In how many ways can the letters of the word "MATHEMATICS" be arranged, and what is the probability that all the consonants in these arrangements always ap...
• In how many ways can the letters of the word "INNOVATE" be arranged, and what is the probability that all the consonants in these arrangements always appea...
• In how many ways can the letters of the word "CHOCOLATE" be arranged, and what is the probability that all the vowels in these arrangements always appear t...
• A box contains ‘x’ indigo, ‘x – 4’ violet and ‘x – 8’ blue balls. If two balls are drawn at random then probability of getting a violet bal...
• Raman has three children and he truthfully says, "at least one of my children is a girl." What is the probability that all of his children are girls?
• If 5 coins are tossed at a time what's the probability of getting exactly one head?
• A pair of dice is rolled once, what is the probability that the sum of the numbers on top is 5?
• If 4 cards fall out while shuffling a deck of 52 cards, what is the probability that all of them are aces?1. 1/ 52 C 4 2. 4/ 52 C 4 3. 2/ 52 C 4 4. 1/ 48 C...
• Three cards are drawn randomly from a pack of 52 cards. What is the probability that one will be black and two will be red?
• Two dice are thrown simultaneously. Find the probability that sum of the numbers appeared on both the dice is at least 7.
• If Ravi lies 4 out of 10 times and Vikram lies 6 out of 10 times, what is the probability that Ravi and Vikram will agree with each other?
• A fair coin is tossed 6 times. What is the probability of getting exactly either two or three heads?
• There are 2 boxes. Box A contains 6 gums and 4 candies and Box B contains 3 gums and 7 candies. If a box is selected at random and 2 things are drawn out o...
• There are is chest containing only diamond and emeralds in the ratio 2:5. When 2 of them are picked at random form the chest, the probability that both are...
• There are 6 Apples and some oranges in a basket. If 2 fruits are picked at random, the probability that both are Apples is 1/8. How many oranges are there?
• 5 boys and 3 girls are to be seated on chairs arranged in a row. If the arrangement is made at random, find the probability that no two girls will be seate...
• The letters of the word MISCHIEF are arranged among themselves. What is the probability that word ICE will be contained?
• 6 Boys and 5 Girls sat in a row randomly. What is the probability that no 2 Girls are together?
• A dice is rolled six times. What is the probability that a six appears on the sixth roll for the second time in 6 rolls?
• Bag A contains 3 red, 4 black, 8 blue and 5 yellow balls. Bag B contains 5 red, 2 black, 4 blue and 3 yellow balls. Find the probability of drawing 2 blue ...
• A university has to select an examiner from a list of 50 persons. Out of these 50 persons, 20 are women and 30 are men. 10 persons know hindi and 40 do not...
• A number is randomly chosen from 1 to 100(both inclusive). What is the probability that it is divisible by 2, 3 or 5?
• Odds in favour of A passing the exam is 1 : 3 and Odds against B passing the exam is 4 : 1. What is the probability that exactly one of them will pass the ...
• A box consists of 125 apples out of which 25 are rotten. Khushboo comes to buy non-rotten apple. The shopkeeper takes out two apples and hands it over to K...
• There are three people A, B and C who are competing in a 100-meter race. If A is 50% more likely to win as B and B is twice as likely to win as C then what...
• A bag contains 3 Red, 3 Blue and 6 Green balls. Two balls are drawn at random. What is the probability that 1 ball is red and other is blue or 1 ball is gr...
• A bag contains six green balls, four red balls and two yellow balls. Two balls are drawn at random, what is the probability that both are of the same colou...
• A coin is tossed four times one by one. What is the probability of getting a tail for the first time, head for the second time and again head for the third...
• Dravid who is playing a game with his younger brother threw a dice three times. What is the probability of getting at least four on each attempt?
• A basket contains x black balls, (x + 3) white balls and (x + 6) yellow balls. If probability of picking a white ball is 1/11 more than that of picking a b...
• A bag contains x pink balls, (x + 2) blue balls and (x + 7) green balls. If probability of getting a blue ball is 1/9 more than that of getting a pink ball...
• A basket contains x green apples, (x + 2) red apples and (x + 10) yellow apples. If probability of getting a red apple is 1/8 more than that of getting a g...
• A bag contains x orange balls, (x + 5) purple balls and (x + 7) green balls. If probability of getting a purple ball is 1/15 more than that of getting an o...
• A bag contains x white balls, (x + 4) black balls and (x + 8) yellow balls. If probability of getting a black ball is 1/12 more than that of getting a whit...
• A girl appeared in 5 exams, each having a maximum of 200 marks. Her scores in the exams were 180, 150, 165, 190, and 175. She randomly tells her marks of o...
• A boy attended 5 lab evaluations, each having a total of 100 marks. His scores were 88, 76, 92, 81, and 70. He randomly reveals one of the scores to his fr...