Practice Probability Questions and Answers

• The likelihood that Maya secures a place in college D is 90% and in college E is 85%. Maya's order of preference is 'D', then 'E', and finally 'F'. Assumin...
• Karan has a 65% chance of being admitted to school L and a 55% chance at school M. His preferences are 'L', then 'M', and lastly 'N'. Assuming Karan gets i...
• The probability that Leah will be accepted into program P is 60% and into program Q is 40%. Leah prefers program 'P' first, then 'Q', and finally 'R'. Assu...
• A bag contains 12 blue balls, 18 red balls, and 20 green balls. One ball is drawn at random. Find the probability that the ball drawn is either blue or gre...
• A bag contains 7 blue balls, 28 red balls, and 10 green balls. One ball is drawn at random. Find the probability that the ball drawn is either blue or gree...
• A bag contains 9 blue balls, 16 red balls, and 20 green balls. One ball is drawn at random. Find the probability that the ball drawn is either blue or gree...
• Maria is taking a quiz that contains 3 questions, each with 5 options. Only one option is correct for each question. If Maria guesses all the answers, what...
• John is answering a survey with 3 questions, each with 2 options. Only one option is correct per question. If John answers randomly, what is the probabilit...
• Anna is participating in a trivia game with 6 questions, each with 3 choices. Only one choice is correct per question. If Anna guesses on all questions, wh...
• A basket contains (x + 4) red apples, (x + 6) green apples, and (x + 8) yellow apples. The probability of drawing a yellow apple from the basket is (7/20)....
• A box contains (x + 10) pencils, (x + 15) pens, and (x + 20) markers. The probability of drawing a marker from the box is (2/5). Find the number of pens in...
• John bought a watch for Rs. 3,400 and sold it at a profit percentage equal to the profit percentage earned on selling 10 bicycles for the cost price of 15 ...
• A bag contains cards numbered between 33 and 102. If one card is drawn from the bag, the probability that the number on the drawn card is a perfect square ...
• A bag contains 7 green balls, 5 blue balls, and 10 yellow balls. A box contains 3 green balls and 8 yellow balls. A ball is randomly drawn from the box and...
• A bag contains 5 red, 4 green, and 3 blue balls. What is the probability of drawing a green ball?
• In a basket, there are (x + 7) red balls, ‘x’ blue balls, and (x + 3) black balls. If the probability of picking two blue balls at random is (1/28), th...
• In a jar, there are (x + 8) red balls, ‘x’ blue balls, and (x + 2) black balls. If the probability of picking two blue balls at random is (1/45), then ...
• In a container, there are (x + 4) red balls, ‘x’ blue balls, and (x + 5) black balls. If the probability of picking two blue balls at random is (1/30),...
• Three cards are drawn one after another with replacements from a standard deck of 52 cards. What is the probability of getting the first card a Queen, the ...
• A bag contains 18 black and 20 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
• A bowl contains 9 blue balls, 7 white, and 5 black balls. If 2 balls are drawn in one go, then the probability of exactly one ball being white is:
• Find the simplified value of the given expression: 18 × 3 ÷ 6 + 24 ÷ 4 of 2 − 60 ÷ 2 of 3 + 18 × 5 ÷ 9. ...
• "A box contains 54 rubber bands in three colors: Red, Green, and Yellow. The probability of picking a green rubber band is (1/3), and the number of yellow ...
• A class has 28 students, including 8 girls and the …… boys. If …… girls leave the class, the probability of randomly selecting a boy becomes 5/6. W...
• In a bag, there are 7 red balls, 5 black balls, and 9 green balls. If two balls are selected at random, what is the likelihood of picking one red ball and ...
• A bag contains 3 white balls , 5 blue balls , and 8 red balls . One ball is picked randomly from the bag and discarded. What is the probability...
• A bag contains 5 red balls, 4 green balls, and 3 yellow balls. Two balls are drawn randomly. What is the probability that both are of the same color?
• A box contains 10 red balls, 12 green balls, and 8 blue balls. Two balls are drawn at random. What is the probability that both balls drawn are either red ...
• In a class of 30 students, 18 students like mathematics, 15 like science, and 8 like both subjects. What is the probability that a randomly selected studen...
• A box contains 8 red, 5 green, and 7 blue balls. Two balls are drawn at random without replacement. What is the probability that both balls drawn are of di...
• A box contains 6 red balls, 5 green balls, and 4 blue balls. Two balls are drawn at random. What is the probability that one ball is red and the other is b...
• A bag holds 12 pink balls and 13 white balls. If two balls are randomly drawn from the bag, what is the probability that the two balls are of different col...
• A box contains (x + 3) black balls, 6 yellow balls, and 5 orange balls. If two balls are selected at random and the probability of selecting two orange bal...
• Ajith engages in a game where he simultaneously tosses three coins and rolls a pair of dice. To win, he must achieve two outcomes: all three coins must lan...
• A bag holds a total of 7 balls, consisting of 3 red balls and 4 black balls. If two balls are randomly drawn from the bag without replacement, what is the ...
• A bag contains a certain number of fruits of three varieties: apple, orange, and banana. The total number of apples and oranges is 13, which is 5 more than...
• In a bag, there are 5 red balls, 6 green balls, and 9 blue balls. If two balls are drawn at random without replacement, what is the probability that both b...
• In a box, there are 6 red balls, 8 green balls, and 10 blue balls. If one ball is drawn at random, what is the probability that the ball drawn is either re...
• Max has a 1/4 chance of failing his Quant test and a 4/5 chance of passing his Reasoning test. What is the probability that he fails exactly one of the two...
• If two dice are rolled simultaneously, what is the probability that the sum of the numbers on the two dice is greater than or equal to 10?