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23 Oct 2021

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There are eight cards. Five are green and three are yellow. The five green cards are numbered  and . The three yellow cards are numbered  and . The cards are well shuffled. You randomly draw one card.

 card drawn is green.
card drawn is even-numbered.

Step-by-step explanation

Step 1.

The probability of an event  is defined as:

  

The sample space is defined as the set of all the possible outcomes.

Therefore, sample space is:

  

The total number of possible outcomes are .  

The set of outcomes when the card is green    

The set of outcomes when the card is even-numbered    

Observe that these two sets have common members, therefore and are not mutually exclusive. 

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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