A bag contains 4 black and 3 white identical balls. Two balls are drawn in succession at random without replacement. Consider the following events: Event A is that both the balls are black; event B is that both the balls are white; event C is that the first ball is black and the second ball is white. Consider statements about probabilities of occurrence of A, B, and C:
I. II. III. IV.
Tap an option to check your answer.
Checking your account…
A bag contains 4 black and 3 white identical balls. Two balls are drawn in succession at random without replacement. Consider the following events: Event A is that both the balls are black; event B is that both the balls are white; event C is that the first ball is black and the second ball is white. Consider statements about probabilities of occurrence of A, B, and C: I. P[C] = P[A] > P[B] II. P[A] = P[B] III. P[A] = P[C] IV. P[B] = P[C] (A) I and III are true (B) II and IV are true (C) III and IV are true (D) II, III and IV are true
Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.
This question is on Sampling with and without replacement, part of Probability and Bayes' theorem in Statistics.
Drawing from a finite population and the hypergeometric probabilities that result.
TestStop has 14 past-paper questions on this subtopic.
Question from the UoH 2021 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.