Outcome

In probability, an outcome is a single, specific possible result of a random experiment. Whenever an experiment like tossing a coin or rolling a die is conducted, the exact result observed is recorded as an outcome.

Key Concepts

Outcomes form the fundamental building blocks of probability, as every random experiment produces at least one outcome.

The complete collection of all possible outcomes for a given experiment is known as the sample space.

When every outcome in an experiment has the exact same chance of occurring, they are referred to as equally likely outcomes.

Formula & Equation

P(E) = \frac{\text{Number of outcomes favourable to E}}{\text{Total number of possible outcomes}}

P(E) is the theoretical probability of an event E. The formula relies on counting the specific favourable outcomes and dividing by the total possible outcomes of the experiment.

Common Misconceptions

Myth: Students often confuse the terms outcome and event, thinking they mean the exact same thing.

Fact: An outcome is a single result of an experiment, whereas an event is a collection of one or more outcomes. For example, rolling a 5 is an outcome, but rolling an odd number is an event made up of three outcomes (1, 3, and 5).

Real World Applications

When tossing a standard coin, there are exactly two possible outcomes: getting a Head or getting a Tail.

When rolling a standard six-sided die, getting a 3 is a single outcome, while the total possible outcomes are 1, 2, 3, 4, 5, and 6.

Frequently Asked Questions

What is an outcome in probability class 10?

An outcome is any possible result of a random experiment. For example, drawing the King of Hearts from a deck of cards is a specific outcome.

What are equally likely outcomes?

Equally likely outcomes are results of an experiment that have the exact same theoretical probability of occurring, assuming the object used is fair and unbiased.

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