SCST 310 Discussion #1 Chapter# 1 Question# 1: The sample space of the experiment is S = {HH, HT, TH, TT}. Let A is the event of getting two heads and B is the event of getting the same face. Are events A and B independent events? Question# 2: Two distinct dice A and B are rolled. What is the probability of each of the following events: a. At least one 4 appears. b. Just one 4 appears. c. The sum of the face values is 8. d. One of the values is 3 and the sum of the two values is 5. e. One of the values is 3 or the sum of the two values is 5. Question# 3: Two events A and B have the following probabilities: 1 1 P[A] = P[BA] = P[AB] = 4 2 1 3 Compute: a. P[A n B] b. P[B] c. P[A U B] Question# 4: Tom is planning to pick up a friend at the airport. He has figured out that the plane is late 80% of the time when it rains, but only 30% of the time when it does not rain. If the weather forecast that morning calls for a 40% chance of rain, what is the probability that the plane will be late