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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Finding Sample Spaces and events In Exercises 1–4, list or describe the elements in the specified set. See Example 1.

Coin Toss A coin is tossed. When a head occurs, the coin is tossed again; otherwise, a six-sided die is tossed.

(a) The sample space S

(b) The event A that 4, 5, or 6 occurs on the die

(c) The event B that two heads occur

(a)

To determine

The sample space of an experiment when a coin is tossed and when a head occurs, the coin is tossed again; otherwise, a six-sided die is tossed.

Explanation

Given Information:

The provided information is that, a coin is tossed and when a head occurs, the coin is tossed again; otherwise, a six-sided die is tossed.

Consider the provided information is that, a coin is tossed and when a head occurs, the coin is tossed again; otherwise, a six-sided die is tossed.

The sample space is the total possible outcome of an experiment.

So, for an experiment consists of a coin is tossed and when a head occurs, the coin is tossed again; otherwise, a six-sided die is tossed.

S={HH,HT,T1

(b)

To determine

The event A that 4,5 or 6occures on the die when a coin is tossed and when a head occurs, the coin is tossed again; otherwise, a six-sided die is tossed.

(c)

To determine

The event B that two head occur when a coin is tossed and when a head occurs, the coin is tossed again; otherwise, a six-sided die is tossed.

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