A5-column table has 4 rows. the first column has entries a, b, c, total. the second column is labeled x with entries 10, 110, 60, 180. the third column is labeled y with entries 80, 44, 59, 183. the fourth column is labeled z with entries 61, 126, 110, 297. the fifth column is labeled total with entries 151, 280, 229, 660.
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).