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25 Oct 2021

Given information

An experiment consists of tossing a nickel, a dime, and a quarter. Of interest is the side the coin lands on.

Let be the event that there are at least two tails 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 is given as tossing a nickel, dime, and a quarter. Of interest is the side the coin lands on

The sample space consists of all the possible outcomes:

  

.

Let be the event that there are at least two tails, then

.

Let be the event that first and second tosses land on head, then

.

Observe that these two events do not have any common outcomes, therefore

Therefore, the events and are mutually exclusive.  

 

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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