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%.
¡Gracias por tus comentarios!
Pregunte a AI
Pregunte a AI
Pregunte lo que quiera o pruebe una de las preguntas sugeridas para comenzar nuestra charla
Awesome!
Completion rate improved to 3.7Conditional probability
Desliza para mostrar el menú
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%.
¡Gracias por tus comentarios!
