Show clearly all steps and computations: By Hand.
Posted: Tue Nov 23, 2021 9:35 am
Show clearly all steps and computations: By Hand.
1. A six-sided die is rolled two times. Let A be the event that the sum of the two rolls is equal to 1, B be the event that both rolls are even, and C be the event that the second roll is at most 3. (a) Calculate the probabilities P(A), P(B) and P(C). (b) Calculate the probabilities P(An B), P(ANC) and P(B nC). (c) Are the events A, B and C pairwise independent? (d) Are the events A, B and C mutually independent? [4] [6] [3] [2] [15 marks]
1. A six-sided die is rolled two times. Let A be the event that the sum of the two rolls is equal to 1, B be the event that both rolls are even, and C be the event that the second roll is at most 3. (a) Calculate the probabilities P(A), P(B) and P(C). (b) Calculate the probabilities P(An B), P(ANC) and P(B nC). (c) Are the events A, B and C pairwise independent? (d) Are the events A, B and C mutually independent? [4] [6] [3] [2] [15 marks]