Question

Question 3: Consider the following experiment: A ball is drawn from an urn containing 2 red balls, 2 white balls and 4 blue balls. If the ball drawn is white, a fair coin is flipped and the outcome is recorded. If the ball is blue, a card is drawn from a standard (52 card) deck and the suit (club ♣, diamond ♦, heart ♥ and spade ♠, present in equal proportions in the deck) is recorded. If the ball is red, a fair six-sided die is rolled and the top number is recorded. (a) List the sample points in this experiment. What is the probability of each sample point. (b) What is the probability that the die rolls an odd number? (c) What is the probability that a red ball is drawn and the die lands on 2? (d) Are the events {Red ball is drawn} and {Heart is drawn} independent? Justify your answer

Answer 1