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25 Oct 2021

Given information

An experiment consists of first rolling a die and then tossing a coin.

Let be the event that either a three or a four is rolled first, followed by landing a head on the coin toss and   be the event that the first and second tosses land on heads.

Step-by-step explanation

Step 1.

The probability of an event is defined as:

 

The experiment consists of first rolling a die and then tossing a coin, therefore the sample space which consists of all possible outcomes is:

.

Let  be that either a three or four is rolled first, followed by a head on the coin toss, then

 

Let be the event that a number less two is rolled first, followed by a head on the coin toss, then

,

.

Observe that these two events do not have anything in common.

Therefore the events are mutually exclusive.

   

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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