STEM Excellence Series: Empowering the Next Generation

CERTAIN EVENT

Certain Event

Definition Of Certain Event

An event that is certain to occur is called Certain Event.

More About Certain Event

The probability of a certain event is always 1.

Example of Certain Event

The Christmas will be celebrated on the 25th of December this year. This is a certain event.
It is 2:00 p.m. now and will be 4:00 p.m. after two hours. This is a certain event.

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Solved Example on Certain Event

Ques: A teacher chooses a student at random from a class of 30 boys. What is the probability that the student chosen is a boy?

Choices:

A.1/30
B.1/29
C. 0
D. 1
Correct Answer: D

Solution:

Step 1: Number of students in a class is 30. So, the number of possible outcomes is 30.
Step 2: Since all the students in the class are boys, the number of favorable outcomes is 30.
Step 3: Probability (event) = Certain Event [Formula.]
Step 4: P (boy) =30/30 = 1 [Substitute the values.]
Step 5: The probability that the student chosen is a boy is 1.

Quick Summary

  • Probability of a certain event is always 1.
  • Certain events are sure to happen.
\[ P(A) = 1 \]

🍎 Teacher Insights

Use real-world examples, such as the sun rising in the east, to illustrate the concept of a certain event.

🎓 Prerequisites

  • Basic Probability
  • Understanding of Events

Check Your Knowledge

Q1: A bag contains only red balls. What is the probability of picking a red ball?

Q2: What is the probability that the day after Saturday is Sunday?

Frequently Asked Questions

Q: What is the probability of a certain event?
A: The probability of a certain event is always 1.

Q: Can an event be 'more' certain than another?
A: No, if an event is certain, its probability is exactly 1. There are no degrees of certainty beyond that.

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