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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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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