Question

Consider the following experiment: toss a coin twice and record the sequence of heads and tails. What is the event that you get at least one head?

   Consider the following experiment: toss a coin twice and record the sequence of heads and tails.
What is the event that you get at least one head?

Precalculus : Building Concepts and Connections

Precalculus : Building Concepts and Connections

Revathi Narasimhan 1st Edition

Chapter 10, Problem 2

Instant Answer

Solved by Expert Charles Carter

04/18/2020

Step 1

The outcomes are: Heads-Heads (HH), Heads-Tails (HT), Tails-Heads (TH), and Tails-Tails (TT). Show more…

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Consider the following experiment: toss a coin twice and record the sequence of heads and tails. What is the event that you get at least one head?

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Key Concepts

Sample Space

In probability theory, the sample space is the complete set of all possible outcomes of an experiment. It forms the foundation for analyzing events by specifying every outcome that could occur, ensuring that any event under consideration is a subset of this universal set.

Event

An event is a collection of outcomes from the sample space that satisfies a particular condition. Events can be defined by specific properties that the outcomes must have, and they serve as the basis for calculating probabilities.

At Least Condition

The phrase 'at least one' is a condition used to describe events where one or more occurrences of a desired outcome are required. In many probability problems, this condition simplifies analyses through the use of complementary events, focusing on the scenario where the specific outcome does not occur at all.

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