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- Probability & Statistics - Foundations
- Day 3: Basic Probability Puzzles #8
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Day 3: Basic Probability Puzzles #8
Day 3: Basic Probability Puzzles #8
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Four possibilities: (1) read morning (2) read evening (3) read both (4) not read both
Given not reading morning = 1/2 => read morning =1/2 not reading evening = 2/5 => read evening =3/5 read both =1/5
According to venn diagram: prob read newspaper - prob read both paper =(1/2+3/5-1/5) - 1/5 = 0.7
Again a quite misleading question from HR.
If the question is "read evening only OR read morning only OR reading both" the answer would be: 1/2 + 3/5 - 1/5 = 9/10.
If the question is "read evening only OR read morning only (but not both!)" the answer would be: 1/2 + 3/5 - 2*1/5 = 7/10.
I understand how we arrive at 9/10 using the addition rule, but why can I not arrive at the same answer using the joint probability table?
joint prob table at: https://photos.app.goo.gl/8r5L8xKvqEyoVwPbA
From the joint, I would assume the probability of morning or evening:
P( morning, not evening) + P(not morning, evening) = 2/5+3/10 = 7/10
Is there something I have missed in my reasoning?