Conditional probability
When do we use conditional probability?
Likelihood of an event occurring if that another event has already happened.
Formula:
P(A|B) = P(A and B)/P(B)
P(A|B)
- the probability of A given B.P(A and B)
- the probability of A and B.P(B)
- the probability of B.
Task example:
You have 25
balls: 20
**yellow and 5
blue. Among these balls, 5
yellow balls have a defect and 4
blue. The randomly selected ball is blue; calculate the probability that it has a defect.
P(A|B) = P(A and B)/P(B)
P(deffect and blue)
= 4/25 = 0.16 = 16%.P(blue)
= 5/25 = 0.2 = 20%.P(deffect|blue)
= 16%/20% = 80%.
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Conditional probability
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When do we use conditional probability?
Likelihood of an event occurring if that another event has already happened.
Formula:
P(A|B) = P(A and B)/P(B)
P(A|B)
- the probability of A given B.P(A and B)
- the probability of A and B.P(B)
- the probability of B.
Task example:
You have 25
balls: 20
**yellow and 5
blue. Among these balls, 5
yellow balls have a defect and 4
blue. The randomly selected ball is blue; calculate the probability that it has a defect.
P(A|B) = P(A and B)/P(B)
P(deffect and blue)
= 4/25 = 0.16 = 16%.P(blue)
= 5/25 = 0.2 = 20%.P(deffect|blue)
= 16%/20% = 80%.
Дякуємо за ваш відгук!