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10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9, Problem 3RE

Textbook Problem

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**Finding Sample Spaces and Events** In Exercises 1–4, list or describe the elements in the specified set.

**Coin Toss** A coin is tossed three times.

(a) The sample space *S*

(b) The event *A* that at least two heads occur

(c) The event *B* that no more than one head occurs

**(a)**

To determine

The sample space *S* for a coin tossed three times.

**Given Information:**

A coin is tossed three times.

**Formula used:**

In probability, the set of all possible outcomes of the experiment is the sample space of the experiment.

Consider that a coin is tossed three times.

When a coin is tossed once, the possible outcomes is either a head or a tail. When a coin is tossed three times, there is a possibility of a head or a tail in each toss. So, the possible outcomes or the sample space for a toss of a coin three times is:

**(b)**

To determine

The outcomes of the event *A* of the occurrence of at least two heads.

**(c)**

To determine

The outcomes of the event *B* that there cannot be occurrence of no more than one head.

Calculus: An Applied Approach (MindTap Course List)

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