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%.
Grazie per i tuoi commenti!
Chieda ad AI
Chieda ad AI
Chieda pure quello che desidera o provi una delle domande suggerite per iniziare la nostra conversazione
Mi faccia domande su questo argomento
Riassuma questo capitolo
Mostri esempi dal mondo reale
Awesome!
Completion rate improved to 3.7Conditional probability
Scorri per mostrare il menu
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%.
Grazie per i tuoi commenti!
