contestada

There are two known issues with a certain model of new car. The first issue, A, occurs with a probability of P(A)=0.1. B is another known issue with the car. If it is known that either event occurs with a probability of P(A OR B)=0.93, and that both events occur with a probability of P(A AND B)=0.07, calculate P(B).

Respuesta :

MrRoyal

Answer:

[tex]P(B) = 0.90[/tex]

Step-by-step explanation:

Given

[tex]P(A) = 0.1[/tex]

[tex]P(A\ or\ B) = 0.93[/tex]

[tex]P(A\ and\ B) = 0.07[/tex]

Required

[tex]P(B)[/tex]

To do this, we make use of:

[tex]P(A\ or\ B) + P(A\ and\ B) = P(A) + P(B)[/tex]

Make P(B) the subject

[tex]P(B) = P(A\ or\ B) + P(A\ and\ B) - P(A)[/tex]

So, we have:

[tex]P(B) = 0.93 + 0.07 - 0.1[/tex]

[tex]P(B) = 0.90[/tex]

Otras preguntas