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25 Oct 2021

Given information

A special deck of cards has ten cards. Four are green, three are blue, and three are red. When a card is picked, its color
of it is recorded. An experiment consists of first picking a card and then tossing a coin.

Step-by-step explanation

Step 1.

The Probability of an event  is defined as

  

 

In this Experiment first picking a card and then tossing a coin is involved.

Since the sample space consists of all the possible outcomes.

Therefore, sample space is defined as

.

Let  be the event that a blue card is picked first, followed by a head on the coin toss,  be the event that a red or blue is picked, followed by a head on the coin toss

,  

Observe that these two events have an event in common.

Therefore, the events and are not mutually exclusive.  

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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