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.
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 %
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 )
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.