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A probability experiment is conducted in which the sample space of the experiment is S= {1,2,3,4,5,6,7,8,9,10,11,12}, event F= {5,6,7,8}, and event G= {9,10,12}. Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule.

 

List the outcomes in F or G.

A.) F or G = {5,6,7,8}

B.) F or G ={1,2,3,4,5,6,7,8,9,10,11,12}

C.) F or G = {5,6,7,8,9,10,12}

D.) F or G = {9,10,12}

 

Find P(F or G) by counting the number of outcomes in F or G.

 

Determine P(F or G) using the general addition rule.

 Jan 20, 2016
edited by Guest  Jan 20, 2016

Best Answer 

 #1
avatar+129847 
+11

(F or G)  =   {5,6,7,8,9,10,12}     =    answer C     

 

P(F or G)  = P(F) + P(G)  - P(F and G)  =

 

7/12  =   4/12  + 3/12   -  0/12            (note, F and G have no outcomes in  common )

 

7/12 = 7/12

 

 

 

cool cool cool

 Jan 20, 2016
 #1
avatar+129847 
+11
Best Answer

(F or G)  =   {5,6,7,8,9,10,12}     =    answer C     

 

P(F or G)  = P(F) + P(G)  - P(F and G)  =

 

7/12  =   4/12  + 3/12   -  0/12            (note, F and G have no outcomes in  common )

 

7/12 = 7/12

 

 

 

cool cool cool

CPhill Jan 20, 2016

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