What is Unlikely Event?

S1-SA4-0327

Grade Level:

Class 2

All STEM domains, Finance, Economics, Data Science, AI, Physics, Chemistry

Definition

What is it?

An unlikely event is something that has a very small chance of happening. It is not impossible, but it is highly improbable. Think of it as something that almost never occurs.

Simple Example

Quick Example

Imagine you have a bag full of 100 red laddoos and only 1 green laddoo. Picking the green laddoo without looking is an unlikely event because there are so few of them compared to the red ones.

Worked Example

Step-by-Step

Let's say a school has 500 students. Only 1 student wins the 'Best Reader' award each year. What is the chance that a specific student, like Rohan, wins the award?

Step 1: Identify the total number of possible outcomes. There are 500 students who could win.
---Step 2: Identify the number of favourable outcomes. Only 1 student (Rohan) winning is the favourable outcome.
---Step 3: Calculate the probability. Probability = (Favourable Outcomes) / (Total Outcomes) = 1/500.
---Step 4: Understand what 1/500 means. It means Rohan has a very small chance of winning. It's an unlikely event.
---Answer: Rohan winning the 'Best Reader' award is an unlikely event with a probability of 1/500.

Why It Matters

Understanding unlikely events helps us make smart decisions, especially in fields like finance and data science. For example, doctors use it to understand the chances of rare diseases, and weather scientists predict unlikely extreme weather. This skill is crucial for careers in risk management and AI development.

Common Mistakes

MISTAKE: Thinking an unlikely event is impossible. | CORRECTION: Unlikely means it has a very low chance, but it can still happen. Impossible means it can never happen.

MISTAKE: Confusing 'unlikely' with 'likely' or 'certain'. | CORRECTION: 'Unlikely' is opposite to 'likely' (high chance) and 'certain' (will definitely happen).

MISTAKE: Believing that if an unlikely event hasn't happened yet, it will happen soon. | CORRECTION: Each event is independent. The past doesn't change the probability of future independent events.

Practice Questions

Try It Yourself

QUESTION: You flip a coin. Is getting tails an unlikely event? | ANSWER: No, getting tails is a likely event (or equally likely as heads), with a 1/2 chance.

QUESTION: There are 20,000 lottery tickets sold, and only 1 wins the grand prize. Is winning the grand prize an unlikely event? | ANSWER: Yes, winning the grand prize is an unlikely event because the chance is 1/20,000, which is very small.

QUESTION: Your school has 1000 students. What is the probability that you will be chosen to represent India in the Olympics this year? Is this an unlikely event? | ANSWER: The probability is very, very close to 0 (unless you are already an Olympic-level athlete). Yes, it is an extremely unlikely event.

MCQ

Quick Quiz

Which of these is the best example of an unlikely event?

The sun rising tomorrow.

Rolling a 6 on a standard dice.

Finding a 100-rupee note on the road every day for a month.

It raining during monsoon season in Mumbai.

The Correct Answer Is:

Finding a 100-rupee note on the road every day for a month is highly improbable and has a very small chance of happening. The other options are either certain or have a reasonable probability.

Real World Connection

In the Real World

In cricket, if a batsman has an average of 5 runs, hitting a century (100 runs) in the next match is an unlikely event. Cricket analysts use statistics to identify such unlikely outcomes and predict player performance, helping coaches make strategic decisions during matches.

Key Vocabulary

Key Terms

PROBABILITY: The chance of something happening | OUTCOME: A possible result of an event | LIKELY: Having a good chance of happening | IMPOSSIBLE: Cannot happen

What's Next

What to Learn Next

Now that you understand unlikely events, you can explore 'Likely Events' and 'Certain Events'. These concepts will help you compare different probabilities and understand the full spectrum of how often things can happen.