Exercise 14.2: Probability Problems (Extended)
More advanced probability problems and conceptual questions about the difference between experimental and theoretical probability.
Extra Practice Questions
These questions cover the same concepts as Exercise 14.2. Try solving them to build confidence before or after the textbook exercise.
A box contains 12 bulbs, out of which 'x' bulbs are defective. If one bulb is drawn at random from the box, the probability that it is defective is 1/3. What is the value of 'x'?
Consider two events: Event A is 'getting a sum of 13 when rolling two fair dice' and Event B is 'getting a number less than 7 when rolling a single fair die'. Which of the following correctly describes these events?
A card is drawn from a well-shuffled deck of 52 cards. Then, without replacing the first card, a second card is drawn. What is the probability that the first card drawn is a King and the second card drawn is a Queen?
What is the probability that a non-leap year has 53 Mondays?
Two fair dice are rolled simultaneously. What is the probability that the product of the numbers appearing on the dice is a multiple of 4?
A fair six-sided die is rolled once. What is the probability of getting an even number?
A bag contains 'x' red balls and 'y' blue balls. If a red ball is drawn, the probability is 1/3. If 2 red balls are removed, and 3 blue balls are added, the probability of drawing a red ball becomes 1/5. Find the initial total number of balls in the bag.
A student calculated the probability of an event E as 1.25. Which of the following statements is true about the student's calculation?
A game consists of tossing a 1-rupee coin 3 times. If the outcome is always heads or always tails, Raman loses the game. Otherwise, he wins. What is the probability that Raman wins the game?
Two dice are rolled simultaneously. What is the probability that the product of the numbers on the top faces is a multiple of 6?
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Try AI Solver — FreeCommon Mistakes to Avoid
- ✗Confusing experimental probability (based on trials) with theoretical probability (based on logic)
- ✗Not reading the problem carefully — missing conditions like 'at least one' vs 'exactly one'
Other Exercises in Chapter 14
Frequently Asked Questions
How many questions are in Exercise 14.2?
Exercise 14.2 has 5 questions on applied probability concepts.
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