Question

Given that events A and B are independent with P(A) = 0.12 and P(B|A) = 0.8,

determine the value of P(B), rounding to the nearest thousandth, if necessary.

Answer 1

Answer: 0.096.

Step-by-step explanation: Given that A and B are independent events P(A ∩ B) can also be expressed as P(B|A) P(A). Rearranging the equation we have P(B) = P(B|A) * P(A)Substituting the given values:

P(B) = 0.8 * 0.12 = 0.096 rounding to the nearest thousandth the value of P(B) is approximately 0.096, good luck