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Jayla is investigating potential relationships between one having a few programming skills and a canine pet preference. Assume a survey of 200 randomly selected persons revealed the following data:

 

The probability of selecting a person with marketable programming skills is 0.17.

The probability of selecting a person with a feline pet preference is 0.276.

The probability of selecting a person with marketable programming skills and a feline pet preference is 0.052.

 

If you were to choose a person at random from the sample, determine the probability they have few programming skills and a canine pet preference.

 Dec 21, 2020
 #1
avatar+114318 
+2

Just like the  other one, GM, let's suppose  that 1000  people were surveyed rather than just 100

 

Number (prog skills)  =170

Number ( feline pet pref)  = 276

Number (prog skills and feline pet pref )  = 52

 

So

 

Number prog skills only =  170 - 52 =  118

Number feline pref only =  276 - 52  =  222

 

 

Number   who  have few prog skills  and a canine pref  =

 

1000 - ( 118 + 52 + 222)   =  

 

1000 - 392  = 608

 

P ( few prog skills and canine pref)   =  608/1000  =   .608   =  60.8 %

 

cool cool cool

 Dec 21, 2020
 #2
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Draw a Venn diagram again

 

people with few program skills and a dog pref are outside of the diagram

 

1 - .118 -.052 -.224 = .606    

 

 

(Chris made a small error here:    Number feline pref only =  276 - 52  =  222 <------ should be 224   )

 Dec 21, 2020
 #3
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+1

Thank you so much for your help and clarification, my fellow users! I might understand how to this now, so I will try this on my own and come back to see if I got it right. Again, probability in math isn't my best subject on the topic that I can do, so I would like to learn this in every step.

GAMEMASTERX40  Dec 21, 2020

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