Inaugurated by IN-SPACe
ISRO Registered Space Tutor
S3-SA3-0276
What is the Impossible Event?
Grade Level:
Class 8
AI/ML, Data Science, Physics, Economics, Cryptography, Computer Science, Engineering
Definition
What is it?
An Impossible Event is an event that can never happen. The probability of an impossible event is always 0, meaning there is no chance it will occur.
Simple Example
Quick Example
Imagine you have a bag full of only red ladoos. If you close your eyes and pick one ladoo, what is the chance you will pick a blue ladoo? It's an impossible event because there are no blue ladoos in the bag.
Worked Example
Step-by-Step
PROBLEM: You have a standard six-sided dice, numbered 1 to 6. What is the probability of rolling a 7?
---STEP 1: Identify the total possible outcomes when rolling a standard dice. The outcomes are {1, 2, 3, 4, 5, 6}. So, Total Possible Outcomes = 6.
---STEP 2: Identify the number of favourable outcomes (rolling a 7). A standard dice does not have a 7. So, Number of Favourable Outcomes = 0.
---STEP 3: Recall the formula for probability: Probability = (Number of Favourable Outcomes) / (Total Possible Outcomes).
---STEP 4: Substitute the values into the formula: Probability = 0 / 6.
---STEP 5: Calculate the probability: Probability = 0.
---ANSWER: The probability of rolling a 7 is 0. This is an impossible event.
Why It Matters
Understanding impossible events is crucial in fields like Data Science and AI, where models predict outcomes. In Physics and Engineering, it helps determine what scenarios are physically impossible. Even in Economics, it helps analyze risks that have zero chance of occurring.
Common Mistakes
MISTAKE: Confusing an impossible event with an unlikely event. | CORRECTION: An impossible event HAS to have a probability of exactly 0. An unlikely event (like winning a lottery) has a very small probability, but it's not 0.
MISTAKE: Thinking that if an event has never happened before, it's impossible. | CORRECTION: Just because something hasn't happened yet doesn't mean it can't. An impossible event is fundamentally unable to occur based on its definition or conditions.
MISTAKE: Assigning a negative probability to an impossible event. | CORRECTION: Probability values always range from 0 (impossible) to 1 (certain). A probability can never be a negative number.
Practice Questions
Try It Yourself
QUESTION: A jar contains only green marbles. What is the probability of picking a red marble from the jar? | ANSWER: 0
QUESTION: You are looking at a calendar for the current year. What is the probability that the month of February will have 30 days this year? | ANSWER: 0
QUESTION: In a deck of 52 playing cards, what is the probability of drawing a card that is both a King and an Ace at the same time? | ANSWER: 0
MCQ
Quick Quiz
Which of the following describes an impossible event?
An event with a very low probability.
An event that has never happened before.
An event that can never occur.
An event that is difficult to achieve.
The Correct Answer Is:
C
An impossible event is defined as an event that can never occur, and its probability is always 0. Options A, B, and D describe unlikely or rare events, not impossible ones.
Real World Connection
In the Real World
Imagine a weather prediction app. If it predicts 'no rain' for Mumbai during peak monsoon season, that's unlikely but not impossible. However, if it predicts 'the sun will not rise tomorrow', that's an impossible event. In Computer Science, algorithms sometimes check for 'impossible states' to prevent errors or crashes.
Key Vocabulary
Key Terms
PROBABILITY: The chance of an event happening, expressed as a number between 0 and 1. | EVENT: A specific outcome or a set of outcomes in an experiment. | CERTAIN EVENT: An event that is sure to happen, with a probability of 1. | OUTCOME: A possible result of an experiment.
What's Next
What to Learn Next
Now that you understand impossible events, you should explore 'What is a Certain Event?'. This will help you understand the full range of probability, from 0 (impossible) to 1 (certain).
