Question

Let $A=\{H, T\}$ be the set of outcomes when a coin is tossed, and let $B=\{1,2,3,4,5,6\}$ be the set of outcomes when a die is rolled. Write each set in terms of A and/or $B$ and list its elements. The set of outcomes when a die is rolled and then a coin tossed.

Name: Problem 43, Chapter 6: Finite Mathematics and Applied Calculus
Uploaded: 2021-09-26T17:51:49-08:00
Duration: 1 min 58 s
Channel: Laurie Huffman
Description: Let A={H, T} be the set of outcomes when a coin is tossed, and let B={1,2,3,4,5,6} be the set of outcomes when a die is rolled. Write each set in terms of A and/or B and list its elements. The set of outcomes when a die is rolled and then a coin tossed.

   Let $A=\{H, T\}$ be the set of outcomes when a coin is tossed, and let $B=\{1,2,3,4,5,6\}$ be the set of outcomes when a die is rolled. Write each set in terms of A and/or $B$ and list its elements. 
The set of outcomes when a die is rolled and then a coin
tossed.

Finite Mathematics and Applied Calculus

Stefan Waner, Steven… 5th Edition

Chapter 6, Problem 43

Instant Answer

Solved by Expert Laurie Huffman

09/26/2021

Step 1

We are asked to find the set of outcomes when a die is rolled and then a coin is tossed. This can be represented as the Cartesian product of the two sets, $B \times A$. Show more…

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Let $A=\{H, T\}$ be the set of outcomes when a coin is tossed, and let $B=\{1,2,3,4,5,6\}$ be the set of outcomes when a die is rolled. Write each set in terms of A and/or $B$ and list its elements. The set of outcomes when a die is rolled and then a coin tossed.

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Key Concepts

Sample Space

The sample space is the complete set of all possible outcomes of an experiment. In probability theory, correctly identifying the sample space is crucial as it forms the foundation for defining probability measures and events.

Cartesian Product

The Cartesian product is an operation that combines two sets to form a new set of ordered pairs. Each ordered pair consists of one element from the first set and one from the second set, which is essential when constructing the sample space for sequential experiments.

Sequential Experiments

Sequential experiments involve performing actions in a specific order, such as rolling a die and then tossing a coin. The order of events matters, and the outcome is represented as an ordered tuple, ensuring each potential sequence of events is uniquely identified.

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