Which statement is true about whether z and b are independent events?

z and b are independent events because p(z∣b) = p(z).
z and b are independent events because p(z∣b) = p(b).
z and b are not independent events because p(z∣b) ≠ p(z).
z and b are not independent events because p(z∣b) ≠ p(b).

Z and B are independent events because P(Z∣B) = P(Z).

Step-by-step explanation:

Z and B are independent events

When Z  and B  are independent events then

P(Z and B) = P(Z) * P(B)

P(Z∣B)=

P(Z∣B)=

We cancel out P(B) on both sides

P(Z|B) = P(Z)

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

a

step-by-step explanation:

the answer is a