Answer:
1. P(A|B) - option 2
2. does not affect - option 2
3. P(A) - option 1
Step-by-step explanation:
By the definition, the notation P(A|B) reads the probability of event A given that event B has occured. So, for the first gap correct choice is 2 - P(A|B).
If events A and B are independent, then the probability of event B occuring does not affect the probability of event A occuring. So, for the second gap correct choice is 2 - does not affect.
Events A and B are independent, then
[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]
Use formula for the conditional probability:
[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]
Since events A and B are independent, we get
[tex]P(A|B)=\dfrac{P(A)\cdot P(B)}{P(B)}=P(A)[/tex]
So, for the third gap correct answer is 1 - P(A)
For (A) option (2) is correct, for (B) option (2) is correct, and for (C) option (1) is correct.
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
From the basic definitions of the events of probability.
P(A|B) = The probability of Event A given that Event B has occurred
In the independent events, the probability of Event B occurring does not affect the probability of Event A occurring.
P(A|B) = P(A) if events A and B are independent.
Thus, for (A) option (2) is correct, for (B) option (2) is correct, and for (C) option (1) is correct.
Learn more about the probability here:
brainly.com/question/11234923
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