contestada

Given that events A and B are independent with P(A)=0.3P(A)=0.3 and P(A\cap B)=0.27P(A∩B)=0.27, determine the value of P(B)P(B), rounding to the nearest thousandth, if necessary.

Respuesta :

abidemiokin

Answer:

0.9

Step-by-step explanation:

Since A and B are independent  hence;

P(A∩B) = P(A)P(B)

Given the following

P(A∩B) = 0.27

P(A) = 0.3

Required

P(B)

Substitute into the formula;

P(B) = P(A∩B)/P(A)

P(B) = 0.27/0.3

P(B) = 0.9

Hence the value of P(B) is 0.9

MrRoyal

The value of P(B) is 0.9

What is probability?

Probabilities are used to determine the chances of events

The given parameters are:

P(A) = 0.3

P(A ∩ B) =0.27

To find the value of P(B), we make use of the following formula

P(A ∩ B) = P(A) * P(B)

So, we have:

0.27 = 0.3 * P(B)

Divide both sides by 0.3

P(B) = 0.9

Hence, the value of P(B) is 0.9

Read more about probability at:

https://brainly.com/question/25870256

Otras preguntas