We have a deck of  8  cards numbered from  1  to  8 .Some are grey and some are white.The cards numbered  1 ,  2 ,  5 ,  6 , and  8  are grey.The cards numbered  3 ,  4 , and  7  are white.     A card is drawn at random.Let  X  be the event that the drawn card is grey, and let  PX  be the probability of  X .   Let not  X  be the event that the drawn card is not grey, and let  P not  X  be the probability of not  X .   (a)For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.   Event Outcomes Probability 1 2 3 4 5 6 7 8 X                                 =PX not  X                                 =PnotX         (b)Subtract.   =−1PnotX         (c)Select the answer that makes the sentence true.   −1P not  X  is the same as ▼(Choose one)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Question
We have a deck of 
8
 cards numbered from 
1
 to 
8
.
Some are grey and some are white.
The cards numbered 
1
2
5
6
, and 
8
 are grey.
The cards numbered 
3
4
, and 
7
 are white.

 

 
A card is drawn at random.
Let 
X
 be the event that the drawn card is grey, and let 
PX
 be the probability of 
X
.

 

Let not 
X
 be the event that the drawn card is not grey, and let 
P
not
 X
 be the probability of not 
X
.

 

(a)For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.

 

Event Outcomes Probability
1
2
3
4
5
6
7
8
X
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
=PX
not
 X
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
=PnotX
 
 
 

 

(b)Subtract.

 

=−1PnotX
 
 
 

 

(c)Select the answer that makes the sentence true.

 

−1P
not 
X
 is the same as ▼(Choose one)
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