which statement is true about whether z and b are independent events?\nz and b are independent events…

which statement is true about whether z and b are independent events?\nz and b are independent events because p(z|b) = p(z).\nz and b are independent events because p(z|b) = p(b).\nz and b are not independent events because p(z|b) ≠ p(z).\nz and b are not independent events because p(z|b) ≠ p(b).

which statement is true about whether z and b are independent events?\nz and b are independent events because p(z|b) = p(z).\nz and b are independent events because p(z|b) = p(b).\nz and b are not independent events because p(z|b) ≠ p(z).\nz and b are not independent events because p(z|b) ≠ p(b).

Answer

Answer:

Z and B are not independent events because (P(Z|B)\neq P(Z)).

Explanation:

Step1: Calculate (P(Z))

(P(Z)=\frac{297}{660})

Step2: Calculate (P(Z|B))

(P(Z|B)=\frac{61}{151})

Step3: Compare

Since (\frac{61}{151}\neq\frac{297}{660}), (P(Z|B)\neq P(Z)), so Z and B are not independent events.