Homeclass 10MathsProbabilitySure Event

Sure Event

A sure event is an event that is absolutely certain to occur whenever a random experiment is performed. Because its occurrence is guaranteed, the probability of a sure event is always exactly 1.

Key Concepts

In a random experiment, if an event includes all the possible outcomes of the sample space, it is classified as a sure event.
The probability value of a sure event represents 100 percent certainty.
It is the exact opposite of an impossible event, which has a probability of 0.

Formula & Equation

P(E) = 1

P(E) represents the probability of the sure event E.

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Common Misconceptions

Myth: An event with a very high probability, such as 0.99, can be considered a sure event.
Fact: A sure event must have a probability of exactly 1. Even if an event is highly likely to happen, it is not a sure event unless it is guaranteed to occur without any exceptions.

Real World Applications

Getting a number less than 7 when rolling a standard six-sided die.
Drawing a card that is either red or black from a standard deck of 52 playing cards.
Tossing a standard coin and getting either a head or a tail.

Frequently Asked Questions

What is the probability of a sure event?
The probability of a sure event is always exactly 1.
What is the difference between a sure event and an impossible event?
A sure event is guaranteed to happen and has a probability of 1, whereas an impossible event cannot happen and has a probability of 0.
Is getting a number from 1 to 6 on a die a sure event?
Yes, because a standard die only has the numbers 1 through 6, making this outcome absolutely certain.

Keep Learning

ProbabilityImpossible EventEvent