Practice Probability Questions and Answers

• In a deck of 52 cards, what is the probability of drawing either a king or a heart?
• A bag contains 7 blue balls, 3 red balls, and the rest are black balls. The probability of drawing a black ball from the bag is 4/9. How many black balls a...
• Rohan divided a two-digit number by '7', what is the probability that the remainder obtained is a prime number?
• A company wants to pack 144 small boxes, 216 medium boxes, and 288 large boxes into cartons such that each carton contains the same number of boxes of each...
• A bag contains 4 red balls, 5 blue balls, and 3 green balls. Two balls are drawn randomly. What is the probability that both are blue?
• A bag contains 5 red balls, 6 blue balls, and 9 green balls. Two balls are drawn at random without replacement. What is the probability that both balls are...
• A bag contains 5 red balls, 7 blue balls, and 8 green balls. Two balls are drawn at random. What is the probability that both balls drawn are of the same c...
• A box contains 6 red, 5 green, and 4 blue balls. Two balls are drawn randomly. What is the probability that they are of different colors?
• From a well-shuffled deck of 52 cards, two cards are drawn one after the other without replacement. What is the probability that the first card is a red ac...
• A bag contains 4 red balls, 5 blue balls, and 6 green balls. Two balls are drawn at random. What is the probability that both balls are of the same color?
• A number is chosen at random from first 20 natural numbers. Find the probability that the chosen number is prime.
• A bag contains 5 red balls, 4 blue balls, and 3 green balls. If three balls are drawn randomly, what is the probability that all three balls are of differe...
• A bag contains (K - 2) red balls, 8 black balls, and 14 blue balls. If two balls are drawn randomly, the probability that both are black is 2/27. Calculate...
• A bag contains 3 blue, 2 green, and 5 black pens. If five pens are selected randomly, what is the probability that exactly two are green and three are blac...
• A box contains 5 white, 6 green, 3 red, and 5 yellow marbles. If three marbles are chosen randomly, what is the probability that all three selected marbles...
• A bag holds 'a' red bands and 5 green bands. If two bands are drawn sequentially at random without replacement, the probability that both selected bands ar...
• A box contains Z black balls and 7 white balls. If two balls are drawn at random, one after another without replacement, and the probability of drawing bot...
• A container holds A orange balls and 8 brown balls. If two balls are picked randomly without replacement, and the probability of both being orange is 1/3, ...
• A bag contains B red balls and 9 purple balls. If two balls are drawn at random, one after the other without replacement, and the probability of drawing bo...
• A bag contains 15 black balls, 25 white balls, and 20 yellow balls. If three balls are drawn at random with replacement, what is the probability of drawing...
• A bag contains (2x + y) red balls, 32 black balls, and (3x – y) yellow balls. The probability of drawing a red ball is 4/13, and the probability of drawi...
• Two cards are drawn at random from a standard deck of 52 cards. What is the probability of drawing at least one queen?
• Two unbiased dice are rolled. What is the probability that the first die shows a composite number and the second die shows a prime number?
• 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 poly-bag contains (3a - 4) red, (2a - 3) white, and (a - 1) black rubber bands. Two rubber bands are drawn randomly from the bag, and the probability tha...
• 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?