I am struggling to tell the difference between a conditional probability and an intersecting probability. I am often unsure which is given. I take cues from the word "given". That implies conditional probability. When "given" is not stated, it seems ambiguous.
In SOA 6,
"312 of the 937 men had at least one parent who suffered from heart disease, and, of these 312, 102 died from causes related to heart disease."
102 is taken to be an intersecting probability.
In SOA 12,
"Of those with an irregular heartbeat, one third have high blood pressure"
In this case, the conditional probability is used here
How do I know if the question is referring to Pr[A|B] or Pr[A intersect B ]? For most questions, when I see the word "of", I usually take it to mean conditional probabilities. However, it doesn't always work and I don't want to spend precious time deciphering which is which.
Thanks in advance
In SOA 6,
"312 of the 937 men had at least one parent who suffered from heart disease, and, of these 312, 102 died from causes related to heart disease."
102 is taken to be an intersecting probability.
In SOA 12,
"Of those with an irregular heartbeat, one third have high blood pressure"
In this case, the conditional probability is used here
How do I know if the question is referring to Pr[A|B] or Pr[A intersect B ]? For most questions, when I see the word "of", I usually take it to mean conditional probabilities. However, it doesn't always work and I don't want to spend precious time deciphering which is which.
Thanks in advance
Conditional vs Intersecting Probabilities
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